Question

Write an equation in slope-intercept form for the line parallel to y = 5x – 2 that passes through the point (8, –2).

Answer 1

the desired line is y = 5x - 42

Explanation:

Any two parallel lines have the same slope. So if we're given y = 5x – 2, the desired parallel line will have an equation with the same form but a different y-intercept. Let's write out y = 5x – 2 and then replace x with 8 and y with -2. We get:

-2 = 5(8) + b, where b is the y-intercept of the new line.

Then b = -42, and the desired line is y = 5x - 42