Find the slope-intercept form of the equation of a line that passes through the given points.
-$( 0,0 ) , ( 1 , - 8 )$
A) $y = - \frac { 1 } { 8 } x$
B) $y = - 8 x$
C) $y = 8 x$
D) $y = \frac { 1 } { 8 } x$

Question

Quizplus · Accepted Answer

The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$. For points $(0,0)$ and $(1,-8)$, the slope is $m = \frac{-8 - 0}{1 - 0} = -8$. The line passes through the origin $(0,0)$, so its equation in slope-intercept form is $y = mx + b$, where $b$ is the y-intercept. Since the line passes through the origin, $b = 0$, making the equation $y = -8x$.

Find the Slope-Intercept Form of the Equation of a Line (0,0),(1,−8)( 0,0 ) , ( 1 , - 8 )(0,0),(1,−8)

Find the Slope-Intercept Form of the Equation of a Line $( 0,0 ) , ( 1 , - 8 )$