College Algebra CLEP Prep Practice Exam

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What is the y-intercept of the line represented by the equation 4x - 3y = 12?

4
-4
3
-3

The correct answer is: -3

The y-intercept is the point where the line intersects with the y-axis. In order to find the y-intercept, we need to set x = 0 and solve for y. In the given equation, when x = 0, the equation becomes -3y = 12, and solving for y gives us y = -4. Therefore, the y-intercept is -4. Out of the other options, A, B, and C, are incorrect because they are all values for x-intercept, which is the point where the line intersects with the x-axis. Similarly, we would set y = 0 and solve for x to find the x-intercept. In this case, none of the given options are the correct value for the x-intercept, as shown by the y-intercept being -4. Therefore, option D is the correct answer.