Use the point-slope form to write an equation of the line with the slope $-$ 8 and that passes through the point ( $-$ 2, 4). Then write your result in slope-intercept form.
A) $y = - 8 x - 14$
B) $y = - 8 x - 10$
C) $y = - 8 x - 12$
D) $y = 8 x - 14$
E) $y = 8 x - 12$

Question

Quizplus · Accepted Answer

Using the point-slope form, we have:

$$y - y_1 = m(x-x_1)$$

where $m$ is the slope and $(x_1,y_1)$ is the given point. Substituting $m=-8$, $x_1=-2$, and $y_1=4$, we get:

$$y - 4 = -8(x-(-2))$$

Simplifying:

$$y-4 = -8x - 16$$

$$y = -8x -12$$

This is already in slope-intercept form ($y=mx+b$) with $m=-8$ and $b=-12$. Therefore, the answer is C.

Use the Point-Slope Form to Write an Equation of the Line