When line n is graphed in the xy -plane, it has an x -intercept of - 4 , 0 and

Question

When line n is graphed in the xy -plane, it has an x -intercept of - 4 , 0 and a y -intercept of 0 , 86 3 . What is the slope of line n ?

Accepted Answer

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 , 86 3 . The slope, m , of a line can be found using any two points on the line, x 1 , y 1 and x 2 , y 2 , and the slope formula m = y 2 - y 1 x 2 - x 1 . Substituting the points - 4 , 0 and 0 , 86 3 for x 1 , y 1 and x 2 , y 2 , respectively, in the slope formula yields m = 86 3 - 0 0 - - 4 , or m = 43 6 . Therefore, the slope of line n is 43 6 . 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 86 3 , 0 and a y -intercept of 0 , - 4 . Choice D is incorrect and may result from conceptual or calculation errors.

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