Question

Write an equation in slope-intercept form for the line that is parallel to y=−7x−8 and that passes through the point (7,−8).

Answer 1

If the line is parallel, then the second equation has the same slope. The slope of the first line is -7, so the initial equation is going to be y=-7x+b. Plug in the points given, so you get -8=-7(7)+b. You have to solve for b, so move the equation around. b=41. The equation is y=-7x+41