Use the given conditions to write an equation for the line in point-slope form.
-Passing through $( - 4 , - 4 )$ and $( - 2 , - 7 )$
A) $y + 4 = - \frac { 3 } { 2 } ( x + 4 )$ or $y + 7 = - \frac { 3 } { 2 } ( x + 2 )$
B) $y - 4 = - \frac { 3 } { 2 } ( x - 4 )$ or $y - 7 = - \frac { 3 } { 2 } ( x - 2 )$
C) $y + 4 = - \frac { 3 } { 2 } x - 4$ or $y + 7 = - \frac { 3 } { 2 } x + 4$
D) $y + 4 = - \frac { 3 } { 2 } ( x + 2 )$ or $y + 7 = - \frac { 3 } { 2 } ( x + 4 )$

Question

Quizplus · Accepted Answer

The slope of the line passing through $(-4, -4)$ and $(-2, -7)$ is calculated as $\frac{-7 - (-4)}{-2 - (-4)} = \frac{-3}{2}$. Using the point-slope form $y - y_1 = m(x - x_1)$ with either point and the calculated slope gives the equations in choice A.

Use the Given Conditions to Write an Equation for the Line