Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.
-Through $(-2,-4)$ and $(-9,4)$
A) (a) $y=-\frac{8}{7} x-\frac{44}{7}$
(b) $8 x+7 y=-44$
B) (a) $y=\frac{8}{7} x-\frac{44}{7}$
(b) $-8 x+7 y=-44$
C) (a) $y=-\frac{2}{13} x+\frac{34}{13}$
(b) $-2 x-13 y=-34$
D) (a) $y=\frac{2}{13} x+\frac{34}{13}$
(b) $2 x-13 y=-34$

Question

Quizplus · Accepted Answer

To find the slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-4)}{-9 - (-2)} = \frac{8}{-7} = -\frac{8}{7}$. Using point-slope form $y - y_1 = m(x - x_1)$ with $(-2,-4)$, we get $y + 4 = -\frac{8}{7}(x + 2)$, simplifying to $y = -\frac{8}{7}x - \frac{44}{7}$ for slope-intercept form. Multiplying by 7 to clear the fraction gives $8x + 7y = -44$ for standard form.

Find an Equation of the Line, and Write It in (A)