Question

Write an equation of the line that passes through (1, -8) and is parallel to the line y = -3x - 7

Answer 1

Answer:

the desired new equation is y = -3x - 5

Step-by-step explanation:

The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7.  Only the y-intercept will be different.  

Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate.  We get:

-8 = -3(1) + C, where C is the new y-intercept and is to be determined.

Then C = -5, and the desired new equation is y = -3x - 5.