Question

Write a slope-intercept equation for a line parallel to f(x) = −5x − 3 and passing

through the point (2, −12).

Answer 1

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

Explanation:

Answer 2

y = -5x - 2

Explanation:

We will use the slope intercept form: y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

A parallel equation means the slope has to be the same with the original equation. The slope of the original equation is -5, so m = -5

y = -5x + b

We have the x and y coordinates

-12 = -5(2) + b

-12 = -10 + b

+ 10 + 10

b = -2

The y intercept for the new equation is -2

This will be our new parallel equation

y = -5x - 2

You can check this by plugging in

y = -5(2) - 2

y = -10 - 2

y = -12