Which is the graph of the linear function that is represented by the equation y is equal to 1 half x minus 2 ?

Answer

A

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 5 to 5 in increments of 2. A line with arrowheads at both ends passes through (0 comma negative 2), (1 comma 0), and (3 comma 4).

B

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 5 to 5 in increments of 2. A line with arrowheads at both ends passes through (negative 2 comma 0), (0 comma 1), and (4 comma 3).

C

Image with description A four-quadrant graph has an x-axis that goes from negative 5 to 5 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (0 comma negative 2) and (4 comma 0).

D

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 5 to 5 in increments of 2. A line with arrowheads at both ends passes through (negative 1 comma 0), (0 comma 2), and (1 comma 4).

Explanation

The equation y = ½x − 2 has a y-intercept of −2, so its graph passes through (0, −2). Its slope is ½, meaning that moving 4 units right raises y by 2; the graph also passes through (4, 0). Choice C shows both points, so it represents the equation.

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Slope-Intercept Form — Quiz

Which is the graph of the linear function that is represented by the equation y is equal to 1 half x minus 2 ?

Explanation

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