Find the slope and the y-intercept of the line.
-$$2 x + 5 y = - 24$$
A) $\mathrm { m } = - \frac { 2 } { 5 } ; \left( 0 , \frac { 24 } { 5 } \right)$
B) $\mathrm { m } = - \frac { 2 } { 5 } ; \left( 0 , - \frac { 24 } { 5 } \right)$
C) $m = \frac { 2 } { 5 } ; \left( 0 , - \frac { 24 } { 5 } \right)$
D) $m = \frac { 5 } { 2 } ; \left( 0 , \frac { 24 } { 5 } \right)$

Question

Quizplus · Accepted Answer

To find the slope (m) and y-intercept, we first solve the equation for y in terms of x: $5y = -2x - 24$, which simplifies to $y = -\frac{2}{5}x - \frac{24}{5}$. Thus, the slope $m = -\frac{2}{5}$ and the y-intercept is $\left(0, -\frac{24}{5}\right)$.

Find the Slope and the Y-Intercept of the Line 2x+5y=−242 x + 5 y = - 242x+5y=−24

Find the Slope and the Y-Intercept of the Line $2 x + 5 y = - 24$