Find the coordinates of the y-intercept and the coordinates of the x-intercept.
-$7 x - 3 y = 4$
A) $\left( \frac { 4 } { 7 } , 0 \right) , \left( 0 , - \frac { 4 } { 3 } \right)$
B) $( - 3,0 ) , ( 0,7 )$
C) $\left( \frac { 4 } { 7 } , 0 \right) , \left( 0 , \frac { 4 } { 3 } \right)$
D) $\left( - \frac { 4 } { 3 } , 0 \right) , \left( 0 , \frac { 4 } { 7 } \right)$

Question

Quizplus · Accepted Answer

To find the x-intercept, set $y = 0$ and solve for $x$: $7x = 4$, so $x = \frac{4}{7}$. To find the y-intercept, set $x = 0$ and solve for $y$: $-3y = 4$, so $y = -\frac{4}{3}$. Thus, the intercepts are $\left( \frac{4}{7}, 0 \right)$ and $\left( 0, -\frac{4}{3} \right)$.

Find the Coordinates of the Y-Intercept and the Coordinates of the X-Intercept