Find a point-slope form equation for the line through the point with the given slope.
-$$( - 5,9 ) , \mathrm { m } = - 4$$
A) $y - 9 = 4 ( x + 5 )$
B) $y - 9 = - 4 ( x - 5 )$
C) $y - 9 = - 4 ( x + 5 )$
D) $y + 9 = - 4 ( x + 5 )$

Question

Quizplus · Accepted Answer

The point-slope form of a line is $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line. Substituting $m = -4$ and $(x_1, y_1) = (-5, 9)$ gives $y - 9 = -4(x + 5)$.

Find a Point-Slope Form Equation for the Line Through the Point