Review of the Coordinate Plane & Slope Practice

Question

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Question
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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.

(1 point)

Answer 1

To find the slope of the line, we need to use the formula:

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

Let's label the two plotted points as (x1, y1) = (0, 2) and (x2, y2) = (1, -1).

Now we can calculate the change in y and change in x:

change in y = y2 - y1 = (-1) - 2 = -3
change in x = x2 - x1 = 1 - 0 = 1

Finally, we can substitute these values into the formula to find the slope:

slope = (-3)/(1) = -3

So, the slope of the line is -3.