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Chapter 2: Q24. (page 105)

Graph the line passing through the given point with the given slope

鈥�(-2,2),-13

Short Answer

Expert verified

The graph of the line passing through the point (-2,2) with the slope -13 is

Step by step solution

01

Step-1 – Apply the concept of slope of a line

The slope of a line is the ratio of the change in the y-coordinates to the change in the x- coordinates.

Symbolically, the slope m of the line passing through the points x1,y1andx2,y2 is given by m=y2-y1x2-x1 where x1鈮�x2.

02

Step-2 – Plot the given ordered pair   

The given ordered pair is -2,2

Hence plot the point in the graph such that the point is 2 unit in the negative x-axis and 2 units in the positive y-axis.

Therefore, the point -2,2 in the graph is as shown below:

03

Step-3 – Find a new point using the slope

Since the slope is -13, go down 1 unit and 3 units to the right. Now, plot the new point at 1,1.

Therefore the new point in the graph is given as below:

04

Step-3 – Graph the line

Draw a line containing the points -2,2and1,1. Therefore the graph is

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