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

Question

Quizplus · Accepted Answer

To find the slope and y-intercept, the equation needs to be in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Starting with $-5y = 2x$, divide both sides by $-5$ to get $y = -\frac{2}{5}x$. This shows the slope is $-\frac{2}{5}$ and the y-intercept is $(0,0)$, as there is no constant term added to $x$, implying $b=0$.

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

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