Practice Test

Question 4 • Algebra: Concepts and Connections

The graph of the equation x minus 2y is equal to 5 has an x -intercept of 5 and a slope of (1)/(2) Which shows the graph of this equation?

Answer

Image with description A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).

Image with description A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).

Image with description A coordinate plane with a line passing through (0, negative 2) and (4, 0).

Image with description A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).

Explanation

Rearrange x − 2y = 5 to get y = (1/2)x − 5/2, so the line has slope 1/2 and passes through (5, 0). Choice B shows a line through (−3, −4) and (5, 0); its slope is [0 − (−4)] / [5 − (−3)] = 4/8 = 1/2. The points also satisfy the equation, so choice B is correct.

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