Use the point-slope form to write an equation of the line with the slope $- \frac { 3 } { 5 }$ and that passes through the point $( - 2 , - 6 )$ .
A) $y - 2 = - \frac { 3 } { 5 } ( x + 6 )$
B) $y + 2 = - \frac { 3 } { 5 } ( x + 6 )$
C) $y - 6 = - \frac { 3 } { 5 } ( x + 2 )$
D) $y + 6 = - \frac { 3 } { 5 } ( x + 2 )$
E) $y + 6 = \frac { 3 } { 5 } ( x + 2 )$

Question

Quizplus · Accepted Answer

The point-slope form of a line is $y - y_1 = m(x - x_1)$. Substituting $m = -\frac{3}{5}$, $x_1 = -2$, and $y_1 = -6$, we get $y + 6 = -\frac{3}{5}(x + 2)$.

Use the Point-Slope Form to Write an Equation of the Line