Use the image to answer the question

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 8 comma 0 right parenthesis, left parenthesis 0 comma 4 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 1/2
B 2
C 4
D -1/2

Answer 1

To find the slope of a line, we can use the slope formula:

slope = (change in y-coordinates) / (change in x-coordinates)

From the given information, we can see that the line connects the points (-8,0) and (0,4). So, the change in y-coordinates is 4-0 = 4 and the change in x-coordinates is 0-(-8) = 8.

Using the slope formula, we have:

slope = (4-0) / (0-(-8))
= 4 / 8
= 1/2

Therefore, the slope of the line is 1/2.

The correct answer is A) 1/2.