Find the slope-intercept form of the line passing through the points.
$( - 1 , - 6 ) , ( 0 , - 2 )$
A) $y = 4 x + 23$
B) $y = 4 x - 2$
C) $y = \frac { 1 } { 4 } x - \frac { 23 } { 4 }$
D) $y = - \frac { 1 } { 4 } x + \frac { 1 } { 2 }$
E) $y = - 4 x - 10$

Question

Find the slope-intercept form of the line passing through the points. 
$( - 1 , - 6 ) , ( 0 , - 2 )$
A) $y = 4 x + 23$
B) $y = 4 x - 2$
C) $y = \frac { 1 } { 4 } x - \frac { 23 } { 4 }$
D) $y = - \frac { 1 } { 4 } x + \frac { 1 } { 2 }$
E) $y = - 4 x - 10$

Quizplus · Accepted Answer

The slope $m$ is calculated as $\frac{-2 - (-6)}{0 - (-1)} = \frac{4}{1} = 4$. Using the point-slope form $y - y_1 = m(x - x_1)$ with point $(0, -2)$, we get $y = 4x - 2$.

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