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Algebra / Linear equations in two variables Difficulty: Medium

When line n is graphed in the xy-plane, it has an x-intercept of -4,0 and a y-intercept of 0,863. What is the slope of line n ?

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Explanation

Choice C is correct. It's given that when line n is graphed in the xy-plane, it has an x-intercept of -4,0 and a y-intercept of 0,863. The slope, m , of a line can be found using any two points on the line, x1,y1 and x2,y2, and the slope formula m=y2-y1x2-x1. Substituting the points -4,0 and 0,863 for x1,y1 and x2,y2, respectively, in the slope formula yields m=863-00--4, or m=436. Therefore, the slope of line n is 436.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the slope of a line that has an x-intercept of 863,0 and a y-intercept of 0,-4.

Choice D is incorrect and may result from conceptual or calculation errors.