Provide an appropriate response.
-Find the slope and the y -intercept of the line 4 x+3 y=-1 .
A) $\mathrm { m } = - \frac { 4 } { 3 } ; \left( 0 , - \frac { 1 } { 3 } \right)$
B) $\mathrm { m } = - \frac { 4 } { 3 } ; \left( 0 , \frac { 1 } { 3 } \right)$
C) $\mathrm { m } = \frac { 4 } { 3 } ; \left( 0 , - \frac { 1 } { 3 } \right)$
D) $\mathrm { m } = \frac { 3 } { 4 } ; \left( 0 , \frac { 1 } { 3 } \right)$

Question

Provide an appropriate response.
-Find the slope and the  y -intercept of the line  4 x+3 y=-1 .
A) $\mathrm { m } = - \frac { 4 } { 3 } ; \left( 0 , - \frac { 1 } { 3 } \right)$
B) $\mathrm { m } = - \frac { 4 } { 3 } ; \left( 0 , \frac { 1 } { 3 } \right)$
C) $\mathrm { m } = \frac { 4 } { 3 } ; \left( 0 , - \frac { 1 } { 3 } \right)$
D) $\mathrm { m } = \frac { 3 } { 4 } ; \left( 0 , \frac { 1 } { 3 } \right)$

Quizplus · Accepted Answer

To find the slope (m) and y-intercept, the equation needs to be in the form $y = mx + b$. Rearranging $4x + 3y = -1$ gives $3y = -4x - 1$, then $y = -\frac{4}{3}x - \frac{1}{3}$. Thus, the slope $m = -\frac{4}{3}$ and the y-intercept is $\left(0, -\frac{1}{3}\right)$.

Provide an Appropriate Response m=−43;(0,−13)\mathrm { m } = - \frac { 4 } { 3 } ; \left( 0 , - \frac { 1 } { 3 } \right)m=−34​;(0,−31​)

Provide an Appropriate Response $\mathrm { m } = - \frac { 4 } { 3 } ; \left( 0 , - \frac { 1 } { 3 } \right)$