Find the slope and the y-intercept of the given line
-$-3 x+4 y=8$

A) $\frac{3}{4} ;(0,2)$

B) $1 \frac{1}{3} ;(0,-2)$

C) $-\frac{3}{4} ;(0,-2)$

D) $-1 \frac{1}{3} ;(0,2)$

Question

Find the slope and the y-intercept of the given line
-$-3 x+4 y=8$

A) $\frac{3}{4} ;(0,2)$

B) $1 \frac{1}{3} ;(0,-2)$

C) $-\frac{3}{4} ;(0,-2)$

D) $-1 \frac{1}{3} ;(0,2)$

Quizplus · Accepted Answer

To find the slope and y-intercept, the equation needs to be in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Rearranging $-3x + 4y = 8$ gives $4y = 3x + 8$, then $y = \frac{3}{4}x + 2$. So, the slope is $\frac{3}{4}$ and the y-intercept is at $0,2$.

Find the Slope and the Y-Intercept of the Given Line −3x+4y=8-3 x+4 y=8−3x+4y=8

Find the Slope and the Y-Intercept of the Given Line $-3 x+4 y=8$