Find the equation of the line that passes through the points (0, 0) and (-5, 4).
A) $y = - \frac { 4 } { 5 } x$
B) $y = - \frac { 5 } { 4 } x$
C) $y = 4 x$
D) $y = \frac { 4 } { 5 } x$
E) $y = \frac { 5 } { 4 } x$

Question

Quizplus · Accepted Answer

The slope of the line passing through points (0, 0) and (-5, 4) is calculated as $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 0}{-5 - 0} = -\frac{4}{5}$. Since the line passes through the origin (0,0), its equation is $y = mx = -\frac{4}{5}x$.

Find the Equation of the Line That Passes Through the Points