Review of the Coordinate Plane & Slope Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 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 0 comma 2 right parenthesis, left parenthesis 1 comma negative 1 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.

To find the slope of the line given its graph, we need to calculate the change in y divided by the change in x.

The two plotted points are (0, 2) and (1, -1).

The change in y is -1 - 2 = -3.
The change in x is 1 - 0 = 1.

Therefore, the slope of the line is -3/1 = -3.

To find the slope of the line using similar triangles, we can use the coordinates of two points on the line.

The two plotted points are (-3, 1) and (3, -1).

The change in y is -1 - 1 = -2.
The change in x is 3 - (-3) = 6.

Therefore, the slope of the line is -2/6 = -1/3.

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Review of the Coordinate Plane & Slope Practice

Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items

Question
Use the image to answer the question.

A downward-sloping diagonal line with arrows on both ends passes through quadrants 2 and 4. Three points are plotted and labeled on the line: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 3 comma negative 1 right parenthesis. Both the x-axis and y-axis range from negative 10 to 10 in increments of 1.

Find the slope of the line using similar triangles.

(1 point)
The slope is