What is an equation of the line that passes through the point (-7,-6) and is parallel to the line x - y = 7?
First, we turn the equation x-y = 7 into an equation in form y = mx+b, so we can find the slope, which is m. We get, y = x - 7, so the slope of the equation x-y = 7, is 1.
Then we plug in the point (-7, -6) in y = mx + b, getting -6 = -7 + b, because m=1, y = -6, x=-7. Therefore, we can see that b = 1.
As a result, the equation you are looking for is y = x + 1.