Find a point-slope form equation for the line through the point with the given slope.
-$$( - 5,7 ) , m = - \frac { 1 } { 2 }$$
A) $y - 7 = - \frac { 1 } { 2 } ( x + 5 )$
B) $y + 7 = - \frac { 1 } { 2 } ( x + 5 )$
C) $y - 7 = \frac { 1 } { 2 } ( x + 5 )$
D) $y - 7 = - \frac { 1 } { 2 } ( x - 5 )$

Question

Quizplus · Accepted Answer

The point-slope form equation 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 $m = -\frac{1}{2}$ and $(x_1, y_1) = (-5, 7)$ into the formula gives $y - 7 = -\frac{1}{2}(x + 5)$, which matches choice A.

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