10
QuizMultiple Choice

N/A — Exam

Question 10 • Algebraic Reasoning

Which graph represents the function y is equal to 2 x minus 4 ?

Answer
A
Image with description A coordinate plane with a straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The line passes through the points 1 comma negative 4 and 3 comma 4.
B
Image with description A coordinate plane with a straight line. A straight line with a positive slope passes through the point 0 comma negative 4 and the point 2 comma 0, rising steeply from left to right.
C
Image with description A coordinate plane with a straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The line passes through the points negative 4 comma negative 2 and negative 2 comma 4.
D
Image with description A coordinate plane with a straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The line passes through the points negative 4 comma 1 and 4 comma 4.

Explanation

The function y = 2x − 4 has a y-intercept of −4, so its graph passes through (0, −4). Its slope is 2, meaning that when x increases by 2, y increases by 4; the line therefore also passes through (2, 0). Choice C describes a line through those points.

AI-written and checked against the verified answer.

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