Question

What is the equation of a line that passes through (7, 8) and has a slope of -3?

Answer 1

$\text{The point-slope formula:}\ y-y_1=m(x-x_1)\\\\\text{We have:}\\(7;\ 8)\to x_1=7;\ y_1=8\\m=-3\\\\\text{substitute}\\\\y-8=-3(x-7)\\y-8=-3x+21\ \ \ |+8\\\boxed{y=-3x+29}$