Question #N717
The equation $2x + 3y = 12$ represents a line in the xy-plane. What is the y-intercept of the line?
A. -4
B. -3
C. 4
D. 12
Correct Answer is: A
To find the y-intercept of a line, we set $x$ equal to 0 and solve for $y$. Substituting 0 for $x$ in the equation $2x + 3y = 12$, we get $3y = 12$. Dividing both sides by 3, we find $y = 4$. Therefore, the y-intercept of the line is (0, 4). The y-intercept is -4, which is the y-value when $x$ is equal to 0.