Which of the following is an equation of the graph shown in the xy -plane above?

Question

Accepted Answer

Choice A is correct. The slope of the line can be found by choosing any two points on the line, such as (4, -2) and (0, -1). Subtracting the y -values results in -2 - (-1) = -1, the change in y . Subtracting the x -values results in 4 - 0 = 4, the change in x . Dividing the change in y by the change in x yields , the slope. The line intersects the y -axis at (0, -1), so -1 is the y -coordinate of the y -intercept. This information can be expressed in slope-intercept form as the equation . Choice B is incorrect and may result from incorrectly calculating the slope and then misidentifying the slope as the y -intercept. Choice C is incorrect and may result from misidentifying the slope as the y -intercept. Choice D is incorrect and may result from incorrectly calculating the slope.

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