What is 2x+y 20 in slope intercept form?, №18010585, 11.02.2020 07:50

Mathematics

What is 2x+y 20 in slope intercept form?

Step-by-step answer

P Answered by Master

y < -2x+20

Step-by-step explanation:

2x+y < 20

$\mathrm{Subtract\:}y\mathrm{\:from\:both\:sides}$

2x+y-y < 20-y

$\mathrm{Simplify}$

2x < 20-y

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2x}{2} < \frac{20}{2}-\frac{y}{2}$

$\mathrm{Simplify}$

$x < \frac{20-y}{2}$

Also written y < -2x+20

Mathematics

1. write the equation in slope-intercept form. identify the slope and y-intercept. show all work 2x - 3y = 9 2. write the equation in slope-intercept form. identify the slope and y-intercept. show all work x - 4y = -20 3. find the x- and y-intercepts for -x + 4y = 12. write each intercept as a unique ordered pair. show all work 4. y = 2/3x + 7 written in standard form using integers is 3x - y = 21. a) true b) false 5. write an equation of a line that has the same slope as 2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x. a) y= 2/5x−6 b) y=6x−2/5

Step-by-step answer

P Answered by PhD

46

Part 1)

we know that

the equation of the line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

2x-3y=9

solve for y

3y=2x-9

y=(2/3)x-3 -------> equation of the line in slope-intercept form

so

the slope m is $\frac{2}{3}$

the y-intercept b is

Part 2)

we know that

the equation of the line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

x-4y=-20

solve for y

4y=x+20

y=(1/4)x+5 -------> equation of the line in slope-intercept form

so

the slope m is $\frac{1}{4}$

the y-intercept b is

Part 3)

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

we have

-x+4y=12

a) Find the x-intercept

For y=0 substitute in the equation

-x+4*0=12

x=-12

The answer part 3a) is (-12,0)

b) Find the y-intercept

For x=0 substitute in the equation

-0+4y=12

y=3

The answer part 3b) is (0,3)

Part 4)

we know that

the equation of the line in standard form is

Ax+By=C

we have

$y=\frac{2}{3}x+7$

Multiply by both sides

3y=2x+21

2x-3y=-21 ------> equation in standard form

therefore

the answer Part 4) is option B False

Part 5)

Step 1

Find the slope

we have

2x-5y=12

solve for y

5y=2x-12

y=(2/5)x-(12/5)

so

the slope m is $\frac{2}{5}$

Step 2

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

we have

4y+24=5x

for x=0

4y+24=5*0

4y=-24

y=-6

the y-intercept is

Step 3

Find the equation of the line

we have

$m=\frac{2}{5}$

b=-6

the equation of the line in slope-intercept form is

y=mx+b

substitute the values

$y=\frac{2}{5}x-6$

therefore

the answer Part 5) is the option A $y=\frac{2}{5}x-6$

Part 6)

Step 1

Find the slope of the given line

we know that

if two lines are perpendicular. then the product of their slopes is equal to minus one

so

m1*m2=-1

in this problem

the given line

x+8y=27

solve for y

8y=27-x

y=(27/8)-(x/8)

the slope m1 is $m1=-\frac{1}{8}$

so

the slope m2 is m2=8

Step 2

Find the equation of the line

we know that

the equation of the line in slope point form is equal to

y-y1=m*(x-x1)

we have

m2=8

point (-5,5)

substitutes the values

y-5=8*(x+5)

y=8x+40+5

y=8x+45

therefore

the answer part 6) is the option C y=8x+45

Part 7)

y=(8/3)x+ 19 -------> the slope is m=(8/3)

8x- y=17

y =8x-17 --------> the slope is m=8

we know that

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

in this problem the slopes are not the same

therefore

the answer part 7) is the option D) No, since the slopes are different.

Part 8)

a. Write an equation for the line in point-slope form

b. Rewrite the equation in standard form using integers

Step 1

Find the slope of the line

we know that

the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

substitute the values

$m=\frac{(4+1)}{(8-2)}$

$m=\frac{(5)}{(6)}$

Step 2

Find the equation in point slope form

we know that

the equation of the line in slope point form is equal to

y-y1=m*(x-x1)

we have

m=(5/6)

point (2,-1)

substitutes the values

y+1=(5/6)*(x-2) -------> equation of the line in point slope form

Step 3

Rewrite the equation in standard form using integers

y=(5/6)x-(5/3)-1

y=(5/6)x-(8/3)

Multiply by both sides

6y=5x-16

5x-6y=16 --------> equation of the line in standard form

Part 9)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

where

(x1,y1) ------> is the first point

(x2,y2) -----> is the second point

In the numerator calculate the difference of the y-coordinates

in the denominator calculate the difference of the x-coordinates

Part 10)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

substitutes

$m=\frac{(5+1)}{(-1+3)}$

$m=\frac{(6)}{(2)}$

m=3

therefore

the answer Part 10) is m=3

Part 11)

we know that

the equation of the line in slope point form is equal to

y-y1=m*(x-x1)

substitute the values

y+9=-2*(x-10) --------> this is the equation in the point slope form

Mathematics

Ineed this done in 3 hours and i cant figure it out 1. three out of the four equations listed below are equations of lines that are parallel to each other. which equation does not have a graph that is a line parallel to the other three? -4x + 3y = 5 9x = -12y 3x + 4y = -16 8y = - 6x 2. which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6? y = 2x y = 4x + 3 y = -2x + 1 y = -2x 3. choose the slope-intercept form of the equation of the line that passes through (-2, 4) and

Step-by-step answer

P Answered by Master

4

1. option 1

2. option 1

3. option 4

4. option 1

5. option c

explanation is in picture attached.

excuse me.for my bad handwriting

Ineed this done in 3 hours and i cant figure it out 1. three out of the four equations listed bel

Mathematics

Ineed this done in 3 hours and i cant figure it out 1. three out of the four equations listed below are equations of lines that are parallel to each other. which equation does not have a graph that is a line parallel to the other three? -4x + 3y = 5 9x = -12y 3x + 4y = -16 8y = - 6x 2. which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6? y = 2x y = 4x + 3 y = -2x + 1 y = -2x 3. choose the slope-intercept form of the equation of the line that passes through (-2, 4) and

Step-by-step answer

P Answered by Specialist

4

1. option 1

2. option 1

3. option 4

4. option 1

5. option c

explanation is in picture attached.

excuse me.for my bad handwriting

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

Iwill give you the brainlessest if you awnser the following plz and you so much 2. the sum of two numbers is 82. their difference is 24. write a system of equations that describes this situation. solve by elimination to find the two numbers. 3. solve the system of equations using substitution. y = 4x + 6 y = 2x 4.solve the system using elimination. 5x + 8y = –29 7x – 2y = –67 5. what is the solution of the system of equations? y = –4x + 6 y = –5x – 4 6.suppose you are determining the growth rate of two species of plants. species a is 12 cm tall

Step-by-step answer

P Answered by PhD

32

2. x + y = 82
x - y = 24
add
2x = 106
x = 53

x + y = 82
53 + y = 82
y = 82 - 53
y = 29

solution is : (53,29)

3. y = 2x
y = 4x + 6

2x = 4x + 6
2x - 4x = 6
-2x = 6
x = -3

y = 2x
y = 2(-3)
y = -6

solution is (-3,-6)

4. 5x + 8y = -29
7x - 2y = -67...multiply by 4

5x + 8y = -29
28x - 8y = - 268 ..result of multiplying by 4
add
33x = - 297
x = - 9

5x + 8y = -29
5(-9) + 8y = -29
-45 + 8y = -29
8y = -29 + 45
8y = 16
y = 2

solution is : (-9,2)

5. y = -4x + 6
y = -5x - 4

-4x + 6 = -5x - 4
-4x + 5x = -4 - 6
x = -10

y = -4x + 6
y = -4(-10) + 6
y = 40 + 6
y = 46

solution is (-10,46)

6. H(m) = 2m + 12
H(m) = 3m + 10

7. -8x + 4y > -52
4y > 8x - 52
y > 2x - 13 <==

8. 3x - y = 28
3x + y = 14
add
6x = 42
x = 7

3x - y = 28
3(7) - y = 28
21 - y = 28
-y = 28 - 21
-y = 7
y = -7

solution is (7,-7)

10. 5x - 5y > 70
-5y > -5x + 70
y < x - 14 <==

11. sorry...dont know

12. y = 4x + 4
y = -3x - 3

4x + 4 = -3x - 3
4x + 3x = -3 - 4
7x = -7
x = -1

y = 4x + 4
y = 4(-1) + 4
y = 0

solution is (-1,0)

13. -12x - 2y > - 42
-2y > 12x - 42
y < -6x + 21 <==

14. -5x + 2y = 9
3x + 5y = 7

solution is (-1,2)

15. 3x + 6y = -2
15x + 30y = -10divide by 5 to reduce = 3x + 6y = -2
is the same lineinfinite solutions

1. (the graph)y < = 3x - 43rd one

9. (2nd graph)y < = -3x + 4last one

Mathematics

Me with these two questions, 10 points for each so in total 2- which is an equation of the line containing the points (4,6) and (6,10) in standard form? a: -2x+y = -8 b: -2-y = -22 c: -2+y= -2 d: 2x-y= -2 - 4- which shows the equation of the line containing the point (-2,6) and having a slope of 3 in-intercept form? a: 3y=x+20 b: y=3x-20 c: y=3x+12 d: y= -3/2x+3

Step-by-step answer

P Answered by PhD

1

$\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}$

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 6) and (6, 10). Substitute:

$m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2$

y-6=2(x-4) use distributive property

y-6=2x-8 add 6 to both sides

y=2x-2 subteact 2 from both sides

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2) use distributive property

y-6=3x+6 add 6 to both sides

y=3x+12

Mathematics

Me with these two questions, 10 points for each so in total 2- which is an equation of the line containing the points (4,6) and (6,10) in standard form? a: -2x+y = -8 b: -2-y = -22 c: -2+y= -2 d: 2x-y= -2 - 4- which shows the equation of the line containing the point (-2,6) and having a slope of 3 in-intercept form? a: 3y=x+20 b: y=3x-20 c: y=3x+12 d: y= -3/2x+3

Step-by-step answer

P Answered by PhD

1

$\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}$

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 6) and (6, 10). Substitute:

$m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2$

y-6=2(x-4) use distributive property

y-6=2x-8 add 6 to both sides

y=2x-2 subteact 2 from both sides

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2) use distributive property

y-6=3x+6 add 6 to both sides

y=3x+12

Mathematics

Me with these two questions, 10 points for each so in total 2- which is an equation of the line containing the points (4,6) and (6,10) in standard form? a: -2x+y = -8 b: -2-y = -22 c: -2+y= -2 d: 2x-y= -2 - 4- which shows the equation of the line containing the point (-2,6) and having a slope of 3 in-intercept form? a: 3y=x+20 b: y=3x-20 c: y=3x+12 d: y= -3/2x+3

Step-by-step answer

P Answered by Master

2

2x - y = 2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,6) and (6,10). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{10-6}{6-4}= \frac{4}{2} = 2$

Substitute m = 2 and the point (4,6) into the point slope form.

$y - y_1 = m(x-x_1)\\y -6 = 2(x-4)\\y-6 = 2x - 8 \\\y = 2x - 2 \\ 2x -y = 2$

Mathematics

Iwill give you the brainlessest if you awnser the following plz and you so much 2. the sum of two numbers is 82. their difference is 24. write a system of equations that describes this situation. solve by elimination to find the two numbers. 3. solve the system of equations using substitution. y = 4x + 6 y = 2x 4.solve the system using elimination. 5x + 8y = –29 7x – 2y = –67 5. what is the solution of the system of equations? y = –4x + 6 y = –5x – 4 6.suppose you are determining the growth rate of two species of plants. species a is 12 cm tall

Step-by-step answer

P Answered by PhD

32

2. x + y = 82
x - y = 24
add
2x = 106
x = 53

x + y = 82
53 + y = 82
y = 82 - 53
y = 29

solution is : (53,29)

3. y = 2x
y = 4x + 6

2x = 4x + 6
2x - 4x = 6
-2x = 6
x = -3

y = 2x
y = 2(-3)
y = -6

solution is (-3,-6)

4. 5x + 8y = -29
7x - 2y = -67...multiply by 4

5x + 8y = -29
28x - 8y = - 268 ..result of multiplying by 4
add
33x = - 297
x = - 9

5x + 8y = -29
5(-9) + 8y = -29
-45 + 8y = -29
8y = -29 + 45
8y = 16
y = 2

solution is : (-9,2)

5. y = -4x + 6
y = -5x - 4

-4x + 6 = -5x - 4
-4x + 5x = -4 - 6
x = -10

y = -4x + 6
y = -4(-10) + 6
y = 40 + 6
y = 46

solution is (-10,46)

6. H(m) = 2m + 12
H(m) = 3m + 10

7. -8x + 4y > -52
4y > 8x - 52
y > 2x - 13 <==

8. 3x - y = 28
3x + y = 14
add
6x = 42
x = 7

3x - y = 28
3(7) - y = 28
21 - y = 28
-y = 28 - 21
-y = 7
y = -7

solution is (7,-7)

10. 5x - 5y > 70
-5y > -5x + 70
y < x - 14 <==

11. sorry...dont know

12. y = 4x + 4
y = -3x - 3

4x + 4 = -3x - 3
4x + 3x = -3 - 4
7x = -7
x = -1

y = 4x + 4
y = 4(-1) + 4
y = 0

solution is (-1,0)

13. -12x - 2y > - 42
-2y > 12x - 42
y < -6x + 21 <==

14. -5x + 2y = 9
3x + 5y = 7

solution is (-1,2)

15. 3x + 6y = -2
15x + 30y = -10divide by 5 to reduce = 3x + 6y = -2
is the same lineinfinite solutions

1. (the graph)y < = 3x - 43rd one

9. (2nd graph)y < = -3x + 4last one

What is 2x+y<20 in slope intercept form?

Step-by-step answer

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