PSAT Math Multiple-Choice Question 26: Answer and Explanation

Question: 26

What is the y-intercept of the line with equation 2x + 3y = 12?

• A. 4
• B. 3
• C. 2
• D.

Correct Answer: A

Explanation:

A

The question asks for the y-intercept of a line with a given equation. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. Manipulate this equation to solve for y. Subtract 2x from both sides of the equation to get 3y = -2x + 12, and then divide both sides by 3 to get y = -x + 4. Therefore, the y-intercept is 4. The correct answer is (A).