Write the slope-intercept form of the equation for the line passing through the given pair of points.
-$( 9,5 )$ and $( 0 , - 3 )$
A) $y = \frac { 8 } { 9 } x - 3$
B) $y = \frac { 4 } { 3 } x - 3$
C) $y = - \frac { 8 } { 9 } x - 3$
D) $y = - \frac { 4 } { 3 } x - 3$

Question

Quizplus · Accepted Answer

The slope $m$ of the 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 the points $(9, 5)$ and $(0, -3)$, the slope is $m = \frac{-3 - 5}{0 - 9} = \frac{-8}{-9} = \frac{8}{9}$. Using the point-slope form and converting to slope-intercept form $y = mx + b$, where $m = \frac{8}{9}$ and using one of the points to solve for $b$, we get $y = \frac{8}{9}x - 3$.

Write the Slope-Intercept Form of the Equation for the Line (9,5)( 9,5 )(9,5)

Write the Slope-Intercept Form of the Equation for the Line $( 9,5 )$