Review of the Coordinate Plane & Slope Quick Check

Question

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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)

Answer 1

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

slope = (y2 - y1) / (x2 - x1).

In this case, the coordinates of the first point are (-3, 1) and the coordinates of the second point are (2, -4).

Using the formula, we get:

slope = (-4 - 1) / (2 - (-3))
= (-5) / (2 + 3)
= (-5) / 5
= -1.

Therefore, the slope of the line is -1.