$\text { Find an equation of the line that passes through the points } \left( - \frac { 8 } { 11 } , - \frac { 70 } { 11 } \right) \text { and }$ $\left( \frac { 3 } { 2 } , - \frac { 21 } { 4 } \right) \text {. }$
A) $y = \frac { 1 } { 2 } x$
B) $y = \frac { 1 } { 2 } x + 6$
C) $y = \frac { 1 } { 2 } x + 12$
D) $y = \frac { 1 } { 2 } x - 12$
E) $y = \frac { 1 } { 2 } x - 6$

Question

Quizplus · Accepted Answer

We use the point-slope formula to find the equation of the line: $$y - \left(-\frac{70}{11}\right) = \frac{-\frac{21}{4}+\frac{70}{11}}{\frac{3}{2}+\frac{8}{11}}\left(x+\frac{8}{11}\right)$$ Simplifying, we get $$y = \frac{1}{2}x - 6$$
Therefore, the answer is $\boxed{\text{(E)}}$.