Find the slope and the y-intercept of the line.
-$$x + 4 y = - 5$$
A) slope: $- \frac { 5 } { 4 } ; \mathrm { y }$-intercept: $\left( 0 , - \frac { 1 } { 4 } \right)$
B) slope: $- \frac { 1 } { 4 } ; y$-intercept: $\left( 0 , - \frac { 5 } { 4 } \right)$
C) slope: $\frac { 1 } { 4 } ; \mathrm { y }$-intercept: $\left( 0 , - \frac { 5 } { 4 } \right)$
D) slope: $- 4 ; \mathrm { y }$-intercept: $( 0 , - 5 )$

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. Rearranging $x + 4y = -5$ gives $4y = -x - 5$, and then $y = -\frac{1}{4}x - \frac{5}{4}$. Thus, the slope is $-\frac{1}{4}$ and the y-intercept is $\left(0, -\frac{5}{4}\right)$.

Find the Slope and the Y-Intercept of the Line x+4y=−5x + 4 y = - 5x+4y=−5

Find the Slope and the Y-Intercept of the Line $x + 4 y = - 5$