Find the slope-intercept form of the line passing through the points.
$( - 4 , - 2 ) , ( - 1,7 )$
A) $y = 3 x + 2$
B) $y = 3 x + 10$
C) $y = \frac { 1 } { 3 } x - \frac { 2 } { 3 }$
D) $y = - \frac { 1 } { 3 } x - \frac { 10 } { 3 }$
E) $y = - 3 x - 14$

Question

Quizplus · Accepted Answer

The slope $m$ of the line passing through points $(-4, -2)$ and $(-1, 7)$ is calculated as $m = \frac{7 - (-2)}{-1 - (-4)} = \frac{9}{3} = 3$. Using point-slope form $y - y_1 = m(x - x_1)$ with one of the points, say $(-4, -2)$, we get $y + 2 = 3(x + 4)$. Simplifying, $y = 3x + 10$, which matches choice B.

Find the Slope-Intercept Form of the Line Passing Through the Points