Find the y-intercept of the line determined by the equation.
$- 7 x + 4 y = 3$
A) $\left( 0 , \frac { 7 } { 4 } \right)$
B) $\left( 0 , \frac { 3 } { 4 } \right)$
C) $\left( 0 , - \frac { 3 } { 4 } \right)$
D) $\left( - \frac { 7 } { 4 } , 0 \right)$
E) $\left( 0 , - \frac { 7 } { 4 } \right)$

Question

Find the y-intercept of the line determined by the equation. 
 $- 7 x + 4 y = 3$  
A) $\left( 0 , \frac { 7 } { 4 } \right)$
B) $\left( 0 , \frac { 3 } { 4 } \right)$
C) $\left( 0 , - \frac { 3 } { 4 } \right)$
D) $\left( - \frac { 7 } { 4 } , 0 \right)$
E) $\left( 0 , - \frac { 7 } { 4 } \right)$

Quizplus · Accepted Answer

To find the y-intercept, set $x = 0$ in the equation $-7x + 4y = 3$, which simplifies to $4y = 3$. Solving for $y$ gives $y = \frac{3}{4}$, so the y-intercept is $\left(0, \frac{3}{4}\right)$.

Find the Y-Intercept of the Line Determined by the Equation −7x+4y=3- 7 x + 4 y = 3−7x+4y=3

Find the Y-Intercept of the Line Determined by the Equation $- 7 x + 4 y = 3$