Find the slope and the $y$-intercept of the line.
-$-4 x+6 y=8$
A) Slope $\frac{2}{3} ; y$-intercept $\left(0,-\frac{4}{3}\right)$
B) Slope 4 ; y-intercept $(0,-8)$
C) Slope $\frac{2}{3} ; y$-intercept $\left(0, \frac{4}{3}\right)$
D) Slope $\frac{3}{2} ; y$-intercept $(0,2)$

Question

Quizplus · Accepted Answer

To find the slope and $y$-intercept, the equation $-4x + 6y = 8$ can be rearranged into slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. Solving for $y$, we get $6y = 4x + 8$, then $y = \frac{2}{3}x + \frac{4}{3}$. Thus, the slope is $\frac{2}{3}$ and the $y$-intercept is $\left(0, \frac{4}{3}\right)$.

Find the Slope and The yyy -Intercept of the Line −4x+6y=8-4 x+6 y=8−4x+6y=8

Find the Slope and The $y$ -Intercept of the Line $-4 x+6 y=8$