By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.
-
B) m = -2
D) m = 2

Question

By observing the vertical and horizontal change of the line between the two points indicated, determine the slope of the
line.
-
B) m = -2 
D) m = 2

Quizplus · Accepted Answer

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The line in the given diagram rises 2 units (from y = 1 to y = 3) and runs 1 unit (from x = 1 to x = 2). Therefore, the slope is 2/1 or simply 2. Choice D is the only option that gives the correct slope of 2. The slope of a line is given by the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the vertical change (rise) is 4 and the horizontal change (run) is 2. Therefore, the slope is m = (4/2) = 2. The correct choice is D.

By Observing the Vertical and Horizontal Change of the Line