Determine the slope and the y-intercept of the line. $$7 x + 3 y = - 8$$
A) Slope: Slope: $- \frac { 7 } { 3 } ; y$-intercept: $( 0 , - 8 )$
B) Slope: Slope: $- \frac { 3 } { 7 } ; y$-intercept: $\left( 0 , - \frac { 3 } { 8 } \right)$
C) Slope: Slope: $- \frac { 7 } { 3 } ; y$-intercept: $\left( 0 , - \frac { 8 } { 3 } \right)$
D) Slope: $\frac { 7 } { 3 } ; y$-intercept: $\left( 0 , - \frac { 8 } { 3 } \right)$

Question

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. Starting with $7x + 3y = -8$, we solve for $y$: $3y = -7x - 8$, then $y = -\frac{7}{3}x - \frac{8}{3}$. Thus, the slope is $-\frac{7}{3}$ and the y-intercept is $\left(0, -\frac{8}{3}\right)$.

Determine the Slope and the Y-Intercept of the Line 7x+3y=−87 x + 3 y = - 87x+3y=−8

Determine the Slope and the Y-Intercept of the Line $7 x + 3 y = - 8$