Find the slope and the y-intercept of the line.
-$$x + 3 y = - 5$$
A) slope: $- \frac { 1 } { 3 } ; \mathrm { y }$-intercept: $- \frac { 5 } { 3 }$
B) slope: $\frac { 1 } { 3 } ; y - i n t e r c e p t : - \frac { 5 } { 3 }$
C) slope: $- \frac { 5 } { 3 } ; y$-intercept: $- \frac { 1 } { 3 }$
D) slope: $- 3 ; y$-intercept: $- 5$

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. Rewriting the given equation $x + 3y = -5$ to this form gives $3y = -x - 5$, which simplifies to $y = -\frac{1}{3}x - \frac{5}{3}$. Thus, the slope is $-\frac{1}{3}$ and the y-intercept is $-\frac{5}{3}$.

Find the Slope and the Y-Intercept of the Line x+3y=−5x + 3 y = - 5x+3y=−5

Find the Slope and the Y-Intercept of the Line $x + 3 y = - 5$