Question

Select the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4

Answer 1

Answer:

a

Step-by-step explanation:

it has to  have to same slope as the first equation so you have y=5x+b then what you do is plug in the points and solve for b. which gives you 2. so your final equation is y=5x+2

7=5+b

-5  -5

2=b

Answer 2

Answer:

The equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:

• $y=5x+2$

Step-by-step explanation:

Given the equation

$y = 5x + 4$

Here the slope is:

$m=5$

as comparing with the $y=mx+b$, which is the slop-intercept form where m is the slope and b is the y-intercept.

As we know the point-slope form is

$y-y_1=m\:\left(x-x_1\right)$

$y-7=5\left(x-1\right)$

Add 7 to both sides

$y-7+7=5\left(x-1\right)+7$

$y=5x+2$

Therefore, the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:

• $y=5x+2$