Use the given conditions to write an equation for the line in slope-intercept form.
-Passing through $( - 6 , - 2 )$ and $( - 8 , - 8 )$
A) $y = 3 x + 16$
B) $\mathrm { y } = \mathrm { mx } + 16$
C) $y + 2 = 3 ( x + 6 )$
D) $y = - 3 x + 16$ Graph the line whose equation is given.

Question

Quizplus · Accepted Answer

The slope of the line passing through $(-6, -2)$ and $(-8, -8)$ is calculated as $\frac{-8 - (-2)}{-8 - (-6)} = \frac{-6}{-2} = 3$. Using the point-slope form $y - y_1 = m(x - x_1)$ with one of the points, say $(-6, -2)$, we get $y + 2 = 3(x + 6)$. Simplifying this to slope-intercept form $y = mx + b$ gives $y = 3x + 16$, which matches option A.

Use the Given Conditions to Write an Equation for the Line