Question

Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).

Answer 1

y = x - 5

Explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6 + b

Then b must be -5, and so the desired new equation is

y = x - 5