$\text { Find an equation of the line that passes through the point } ( - 11 , - 9 ) \text { and has the slope }$ $m = \frac { 9 } { 2 } .$
A) $y = \frac { 9 } { 2 } x - \frac { 81 } { 2 }$
B) $y = \frac { 9 } { 2 } x + \frac { 81 } { 2 }$
C) $y = \frac { 9 } { 2 } x + 162$
D) $y = \frac { 9 } { 2 } x$
E) $y = - \frac { 9 } { 2 } x$

Question

Quizplus · Accepted Answer

Using the point-slope form, we have:
$$y - (-9) = \frac{9}{2}(x - (-11))$$
Simplifying this gives:
$$y=\frac{9}{2}x+\frac{81}{2}$$
Therefore, the answer is choice B.

Find an equation of the line that passes through the point (−11,−9) and has the slope \text { Find an equation of the line that passes through the point } ( - 11 , - 9 ) \text { and has the slope } Find an equation of the line that passes through the point (−11,−9) and has the slope

$\text { Find an equation of the line that passes through the point } ( - 11 , - 9 ) \text { and has the slope }$