Write an equation of the line that passes through, №18010155, 04.06.2021 21:22

Mathematics

Write an equation of the line that passes through the points. (0,1),(−2,−5)

Step-by-step answer

P Answered by Specialist

y=3x+1

Step-by-step explanation:

Given the following question:

Point A = (0, 1) = (x1, y1)
Point B = (-2, -5) = (x2, y2)

In order to find the answer, we must first find the slope of the two given points by using rise over run.

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{-5-1}{-2-0}$
$m=\frac{-5-1}{-2-0} =\frac{-6}{-2}$
$=\frac{-6}{-2} =-6\div-2=3$
m=3

Now that we know the slope, we can now write the equation in slope intercept form.

y=mx+b
m=3
y=1
x=0

Substitute:

1=3(0)+b
$3\times0=0$
1=b
b=1
y=3x+1

Hope this helps.

Mathematics

Which set represents the range of the function shown? (5 points) {(−1, 5), (2, 8), (5, 3), (13, −4)} a {−1, 2, 5, 13} b {−4, 3, 5, 8} c {(5, −1), (8, 2), (3, 5), (−4, 13)} d {−4, −1, 2, 3, 5, 5, 8, 13} Question 2 (5 points) (03.01 LC) Given that h(x) = 3x − 19, find the value of x that makes h(x) = 71. (5 points) a 30 b 43 c 52 d 194 Question 3 (5 points) (03.02 MC) Given the function g(x) = −3x + 4, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two values. (5 points) a The value of g(−2) is smaller than

Step-by-step answer

P Answered by PhD

1

1) b. {−4, 3, 5, 8}
2) a. 30
3) d. The value of g(−2) is larger than the value of g(4).
4) b. − 1 over 2
5) d. y = −2x − 1
6) a. line through the points 0 comma 6 and 12 comma 0
7) a. It is increasing during the time interval 4 < x < 7 hours.
8) from x15 to x 25 is 4 - -16 = -20 degree change
25-15 = 10000 feet
-20/10=-2 degrees every 1000 feet.
9) Suppose that the function f(x) is the parrent function and the graph of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by shifting down a units.
Rewrite the expression for the function in the following way:
g(x)=32x-9=32x+8-8-9=32x+8-17=f(x)-17.
This shows that the shift down is made by 17 units.
10) b. The graph of y = f(x) will shift down 9 units.
11) b. y + 1 = 5(x + 2)
12) c. f(x) = 2x + 5
13) b. y = 9
14) d. vertical line through the point 5 comma 0

Mathematics

Will give brainiest and 60 points if you show work so i can understand these. 1. find the slope of the line that passes through the points (-1, 2), (0, 5). 2. suppose y varies directly with x, and y = 15 and x = 5. write a direct variation equation that relates x and y. what is the value of y when x = 9? 3. write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4). 4. use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). write your final equation in slope-intercept

Step-by-step answer

P Answered by PhD

The slope is 3.

Step-by-step explanation:

Mathematics

HELP ASAP (Geometry) 1. (06.02 LC) An equation of a given line is y = −2x + 7. Which of the following could be an equation for a line that is parallel to the given line? (6 points) y = − 1 over 2 x − 3 y = 2x − 3 y = 1 over 2 x − 3 y = −2x − 3 2. (06.01 LC) The following set of coordinates represents which figure? (−5 ,2), (−3, 4), (1, 0), (−1, −2) (6 points) Rhombus Kite Rectangle Square 3. (06.02 MC) Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 1). Line AB is shown. A is

Step-by-step answer

P Answered by PhD

1) y = 1 over 2 x − 3;
2) Rhombus;
3) y = 0.5x + 2.5;
4) 2.7;
5) square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared;
6) 5 over 8;
7) 13.4 units;
8) 8 square units;
9) Two slopes of triangle ABC are opposite reciprocals;
10) y − 5 = −4(x − (−1)).

Mathematics

Will give brainiest and 60 points if you show work so i can understand these. 1. find the slope of the line that passes through the points (-1, 2), (0, 5). 2. suppose y varies directly with x, and y = 15 and x = 5. write a direct variation equation that relates x and y. what is the value of y when x = 9? 3. write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4). 4. use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). write your final equation in slope-intercept

Step-by-step answer

P Answered by Specialist

8

1) use change in y/change in x to find the slope from two points:

change in y: 5-2=3

change in x: 0-(-1)=1

3/1=3 is your slope

2) if it is a direct variation, you know as x increases, y increases, both at constant rates

since y is 10 more than x in the example, it will always be 10 more than x

y=x+10 is your equation.

when x=9, y=19

now they could not be reffering to their difference in addition, but their difference in multiplication. In that case, y is 3 times x in the example, so it will always be 3 times x

y=3x is your equation

when x=9, y=27

3) the slope of this line is determined by change in y over change in x:

change in y: 4-4=0

you don't need to calculate the change in x because 0 divided by anything is 0, so that is your slope.

y=0x+b

4=0(1)+b

4=0+b

4=b

y=4 is your equation because 0 times x is zero. this means that it is a horizontal line with a constant y value of 4

4)

y - value of y in a point =slope (x - value of x in a point)

y-(-1)=2/3 * (x-(-3))

y+1=2/3x+2/3(3)

y+1= 2/3x+2

y=2/3x+1

from solving point slope form, you can get to slope intercept form

5) not sure what this question is asking for

- a line?

- an expression equivalent to -1 and 2/3?

both of those aren't possible with the information given

6) parallel means same slope different y intercept

y=5x+b

-1=5(2)+b

-1=10+b

-11=b

y=5x-11

Mathematics

Will give brainiest and 60 points if you show work so i can understand these. 1. find the slope of the line that passes through the points (-1, 2), (0, 5). 2. suppose y varies directly with x, and y = 15 and x = 5. write a direct variation equation that relates x and y. what is the value of y when x = 9? 3. write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4). 4. use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). write your final equation in slope-intercept

Step-by-step answer

P Answered by PhD

The slope is 3.

Step-by-step explanation:

Mathematics

1. write the standard form of the line that passes through the given points. include your work in your final answer. (3, 1) and (-2, 3) 2. (4, 7) and (0, 7) 3. (2, 3) and (2, 5) 4.write the slope-intercept form of the line with a slope of 2 and a y -intercept of -4. include your work in your final answer. 5. write the standard form of the line that is parallel to 2 x + 3 y = 4 and passes through the point (1, -4). include your work in your final answer. 6. write the standard form of the line that contains a slope of 2/3 and passes through the point

Step-by-step answer

P Answered by PhD

8

Part 1) 2x+5y=11

Part 2) y=7

Part 3) x=2

Part 4) y=2x-4

Part 5) 2x+3y=-10

Part 6) 2x-3y=-1

Step-by-step explanation:

Part 1) Write the standard form of the line that passes through the given points

(3, 1) and (-2, 3)

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

step 1

Find the slope m

m=(3-1)/(-2-3)

m=-2/5

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-2/5 and point (3,1)

substitute

y-1=-(2/5)(x-3)

y=-(2/5)x+(6/5)+1

y=-(2/5)x+(11/5)

Convert to standard form

Multiply by 5 both sides

5y=-2x+11

2x+5y=11 -----> equation in standard form

Part 2) Write the standard form of the line that passes through the given points

(4, 7) and (0, 7)

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

step 1

Find the slope m

m=(7-7)/(0-4)=0

This is a horizontal line (parallel to the x-axis)

The equation of the line is

y=7

Part 3) Write the standard form of the line that passes through the given points

(2, 3) and (2, 5)

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

step 1

Find the slope m

m=(5-3)/(2-2)

m=2/0 ----> the slope is undefined

This is a vertical line (parallel to the y-axis)

The equation of the line is

x=2

Part 4) Write the slope-intercept form of the line with a slope of 2 and a y -intercept of -4.

we know that

The equation of the line into slope-intercept form is equal to

y=mx+b

where

m is the slope and b is the y-intercept

we have

m=2

b=-4

substitute

y=2x-4

Part 5) Write the standard form of the line that is parallel to 2 x + 3 y = 4 and passes through the point (1, -4).

we know that

If two lines are parallel, then their slopes are the same

we have

2x+3y=4

isolate the variable y

3y=4-2x

y=(4/3)-(2/3)x

The slope of the given line is

m=-2/3

so

Find the equation of the line with slope m=-2/3 and passes through the point (1,-4)

y-y1=m(x-x1)

substitute

y+4=-(2/3)(x-1)

y=-(2/3)x+(2/3)-4

y=-(2/3)x-(10/3)

Convert to standard form

Multiply by 3 both sides

3y=-2x-10

2x+3y=-10

Part 6) Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=2/3 and point (1,1)

substitute

y-1=(2/3)(x-1)

y=(2/3)x-(2/3)+1

y=(2/3)x+(1/3)

Multiply by 3 both sides

3y=2x+1

2x-3y=-1

Mathematics

I need a written response to solve all 4 steps a. Find the slope of the line that passes through the points (2,-5) and (-2,3). b. What are the slope and y-intercept of the equation 2x - 5y = -10? c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4. d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.

Step-by-step answer

P Answered by Master

a. -2

b. s = 2 and y = -5

c. (2.5, -9)

d. -7x - 2

Step-by-step explanation:

a. In the image, I have used rise over run, which is -8/4 or -2.

b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.

c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).

d. y = mx + b

5 = (-7)(-1) + b

5 = 7 + b

-2 = b

y = -7x - 2

I need a written response to solve all 4 steps

a. Find the slope of the line that passes through th

Mathematics

1. write the standard form of the line that passes through the given points. include your work in your final answer. (3, 1) and (-2, 3) 2. (4, 7) and (0, 7) 3. (2, 3) and (2, 5) 4.write the slope-intercept form of the line with a slope of 2 and a y -intercept of -4. include your work in your final answer. 5. write the standard form of the line that is parallel to 2 x + 3 y = 4 and passes through the point (1, -4). include your work in your final answer. 6. write the standard form of the line that contains a slope of 2/3 and passes through the point

Step-by-step answer

P Answered by PhD

8

Part 1) 2x+5y=11

Part 2) y=7

Part 3) x=2

Part 4) y=2x-4

Part 5) 2x+3y=-10

Part 6) 2x-3y=-1

Step-by-step explanation:

Part 1) Write the standard form of the line that passes through the given points

(3, 1) and (-2, 3)

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

step 1

Find the slope m

m=(3-1)/(-2-3)

m=-2/5

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-2/5 and point (3,1)

substitute

y-1=-(2/5)(x-3)

y=-(2/5)x+(6/5)+1

y=-(2/5)x+(11/5)

Convert to standard form

Multiply by 5 both sides

5y=-2x+11

2x+5y=11 -----> equation in standard form

Part 2) Write the standard form of the line that passes through the given points

(4, 7) and (0, 7)

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

step 1

Find the slope m

m=(7-7)/(0-4)=0

This is a horizontal line (parallel to the x-axis)

The equation of the line is

y=7

Part 3) Write the standard form of the line that passes through the given points

(2, 3) and (2, 5)

we know that

The equation of the line in standard form is equal to

Ax+By=C

where

A is a positive integer

B and C are integers

step 1

Find the slope m

m=(5-3)/(2-2)

m=2/0 ----> the slope is undefined

This is a vertical line (parallel to the y-axis)

The equation of the line is

x=2

Part 4) Write the slope-intercept form of the line with a slope of 2 and a y -intercept of -4.

we know that

The equation of the line into slope-intercept form is equal to

y=mx+b

where

m is the slope and b is the y-intercept

we have

m=2

b=-4

substitute

y=2x-4

Part 5) Write the standard form of the line that is parallel to 2 x + 3 y = 4 and passes through the point (1, -4).

we know that

If two lines are parallel, then their slopes are the same

we have

2x+3y=4

isolate the variable y

3y=4-2x

y=(4/3)-(2/3)x

The slope of the given line is

m=-2/3

so

Find the equation of the line with slope m=-2/3 and passes through the point (1,-4)

y-y1=m(x-x1)

substitute

y+4=-(2/3)(x-1)

y=-(2/3)x+(2/3)-4

y=-(2/3)x-(10/3)

Convert to standard form

Multiply by 3 both sides

3y=-2x-10

2x+3y=-10

Part 6) Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=2/3 and point (1,1)

substitute

y-1=(2/3)(x-1)

y=(2/3)x-(2/3)+1

y=(2/3)x+(1/3)

Multiply by 3 both sides

3y=2x+1

2x-3y=-1

Mathematics

I need a written response to solve all 4 steps a. Find the slope of the line that passes through the points (2,-5) and (-2,3). b. What are the slope and y-intercept of the equation 2x - 5y = -10? c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4. d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.

Step-by-step answer

P Answered by Master

a. -2

b. s = 2 and y = -5

c. (2.5, -9)

d. -7x - 2

Step-by-step explanation:

a. In the image, I have used rise over run, which is -8/4 or -2.

b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.

c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).

d. y = mx + b

5 = (-7)(-1) + b

5 = 7 + b

-2 = b

y = -7x - 2

Write an equation of the line that passes through the points.

(0,1),(−2,−5)

Step-by-step answer

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