PSAT Math Multiple-Choice Question 95: Answer and Explanation

Question: 95

Line a is given by the equation y = 2x - 3. Which of the following equations represents a line that intersects line a in the xy-plane at the point ?

• A. 4x - 3y = 4
• B. 2x + 3y = 5
• C. y - 2x = 1
• D.

Correct Answer: A

Explanation:

A

The question asks for the equation of a line that intersects line a. Because the two lines intersect at , that point must be on the second line. Therefore, plug x = and y = 2 into each answer choice and eliminate any that is not true. Choice (A) becomes - 3(2) = 4, which is 10 - 6 = 4 or 4 = 4. This is true, and no information is given about the line other than the point. Since this equation worked, it must be the equation of the line. The correct answer is (A).