College Math CLEP Prep Practice Exam

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What is the y-intercept of the equation 3x + 4y = 12?

4
3
12
-3

The correct answer is: -3

The y-intercept is the point where the graph intersects the y-axis, meaning the value of x is equal to 0. In this equation, 3x + 4y = 12, to find the y-intercept, we can set x=0 and solve for y. This results in 4y = 12, and after dividing both sides by 4, we get y = 3. Therefore, the y-intercept is the value of 3, or -3 since it is a straight line and the value is on the y-axis, which can be seen as we plug in x=0. The other options, A, B, and C, are incorrect because they represent the coefficient of either x or y, which do not correspond to the y-intercept value.