Find an equation of the line with the given slope that passes through the given point. Write the equation in the form
Ax + By = C.
-m = -9; (-4, -7)
A)9x + y = -43
B)9x + y = -67
C)9x + y = 43
D)9x + y = -7

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ passing through a point $(x_1, y_1)$ can be written as $y - y_1 = m(x - x_1)$. Substituting $m = -9$ and the point $(-4, -7)$, we get $y + 7 = -9(x + 4)$. Simplifying, $y + 7 = -9x - 36$, and then rearranging to the form $Ax + By = C$, we get $9x + y = -36 - 7$, which simplifies to $9x + y = -43$.

Find an Equation of the Line with the Given Slope