Question

Find the equation of a line parallel to y - 5x = 10 that passes through the point (5,1)

Answer 1

y = 5x - 24

Explanation:

y - 5x = 10

y = 5x + 10

If a line is parallel, it has the same slope. m = 5:

y = 5x + b

You can plug in the (5,1) to find the y-intercept:

1 = 5(5) + b

1 = 25 + b

-24 = b

y = 5x - 24

Answer 2

y=5x-24

Explanation:

First step find the slope of y-5x =10

Add 5x on the right side

y=10+5x

Slope is 5

Second step plug in (5,1)into point slope form:

y-y₁=m(x-x₁)

M is 5 cause thats slope

y-1=5(x-5)

distrubte 5

y-1=5x-25

add 1

y=5x-24