Mathematics : asked on bloom826
 01.12.2020

Write an equation of a line that passes through (2,3) and has a slope of 1/4?

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24.06.2023, solved by verified expert
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Y = mx + c
m is the slope

y = (1/4)x + c

Replace coordinates (2,3) to find c

3 = (1/4)*2 + c

c = 3 - (1/2)

c = 5/2

Equation of line is y = (1/4)x + (5/2)

Or you can multiply the whole equation by 4 to get rid of the fractions. You’ll get 4y = x + 10
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Mathematics
Step-by-step answer
P Answered by PhD
Y = mx + c
m is the slope

y = (1/4)x + c

Replace coordinates (2,3) to find c

3 = (1/4)*2 + c

c = 3 - (1/2)

c = 5/2

Equation of line is y = (1/4)x + (5/2)

Or you can multiply the whole equation by 4 to get rid of the fractions. You’ll get 4y = x + 10
Mathematics
Step-by-step answer
P Answered by PhD
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
Step-by-step answer
P Answered by Master
Question 1:
Sub the coordinates in for x and y
Y=-6x + b
1=-6(-4) +b
1= 24 +b
-23=b

Final Y=-6x -23

Repeat for question 2

Question 3:
Slope = y2-y1/x2-x1
8-11/2- -4
-3/6= -0.5
Slope is -0.5
Sub x and y into equation
Y=-0.5x +b
11=-0.5(-4) +b
11=2+b
9=b
Y=-0.5x +9

Repeat for question 4
Mathematics
Step-by-step answer
P Answered by Specialist
Question 1:
Sub the coordinates in for x and y
Y=-6x + b
1=-6(-4) +b
1= 24 +b
-23=b

Final Y=-6x -23

Repeat for question 2

Question 3:
Slope = y2-y1/x2-x1
8-11/2- -4
-3/6= -0.5
Slope is -0.5
Sub x and y into equation
Y=-0.5x +b
11=-0.5(-4) +b
11=2+b
9=b
Y=-0.5x +9

Repeat for question 4
Mathematics
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
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
Step-by-step answer
P Answered by Master
1.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2);y=-x-2 

D.y=-x 

2.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-1);y=-3/2x-6 

C.y=-3/2x+2  

3.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2);x=-3 
 D.y=4 

4.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-2,3);y=1/2x-1 

B.y=-2x-1 

5.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (5,0);y+1=2(x-3) 

 D.y=-1/2x+5/2
Mathematics
Step-by-step answer
P Answered by Specialist
1.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2);y=-x-2

D.y=-x

2.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-1);y=-3/2x-6

C.y=-3/2x+2  

3.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2);x=-3
 D.y=4

4.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-2,3);y=1/2x-1

B.y=-2x-1 

5.Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (5,0);y+1=2(x-3)

 D.y=-1/2x+5/2

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