Review of the Coordinate Plane & Slope Quick Check

Question

5 of 55 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 3 comma 1 right parenthesis, left parenthesis 2 comma negative 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

−1
negative 1

1
1

−56
negative Start Fraction 5 over 6 End Fraction

−5
negative 5

Answer 1

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

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

Looking at the graph, we can see that the line passes through the points (-3,1) and (2,-4). So the change in x would be 2 - (-3) = 5, and the change in y would be -4 - 1 = -5.

Plugging these values into the slope formula, we get:

slope = (-5) / 5 = -1

So the correct answer is:

−1