Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

A -1/8
B 1
C 1/8
D 8

1 answer

To find the slope of the line, we can use the formula: slope = (change in y) / (change in x).

The coordinates of the two points are:
Point A: (-4, 7)
Point B: (4, 8)

To find the change in y, we subtract the y-coordinates:
Change in y = 8 - 7 = 1

To find the change in x, we subtract the x-coordinates:
Change in x = 4 - (-4) = 4 + 4 = 8

Therefore, the slope of the line is:
slope = (change in y) / (change in x) = 1 / 8

The correct answer is C, 1/8.