Question

Given the graph of a line y=−x. Write an equation of a line which is parallel and goes through the point (−8,2)

Answer 1

The parallel line would be y = -x - 6

Explanation:

In order to find the parallel line, we must first start with the slope. The slope of parallel lines must be equal. The first line has a slope of -1. Using this and the new point in slope intercept form, we can solve for the intercept.

y = mx + b

2 = -1(-8) + b

2 = 8 + b

-6 = b

Now we can model the equation using that slope and the intercept.

y = -x - 6