Review of the Coordinate Plane & Slope Quick Check

Question

3 of 53 of 5 Items

Question
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 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.

(1 point)
Responses

−12
negative Start Fraction 1 over 2 End Fraction

4
4

2
2

1/2

Answer 1

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

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

Looking at the graph, we can see that the change in y is 4 (from 0 to 4) and the change in x is -8 (from -8 to 0).

Using the formula, we can calculate the slope:

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

Therefore, the correct answer is negative Start Fraction 1 over 2 End Fraction.