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Chapter 2: Q31. (page 102)

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

-5,2,m=-14

Short Answer

Expert verified

The graph of the line is provided below.

Step by step solution

01

Step-1 – Apply the concept of slope

The slope of the line passing through the points x1,y1andx2,y2 is expressed below.

m=y2-y1x2-x1

02

Step-2 –Obtain the other ordered pair

Consider the provided ordered pair through which line passes -5,2 along with the slope m=-14.

To obtain the other ordered pair through which the line passes interpret the slope. The slope is negative this means the line rises to the left.

Now, from the ordered pair -5,2 move 1 unit down (on y-axis) and 4 units right (on x-axis).

Therefore, the obtained ordered pair is -1,1.

03

Step-3 – Graph the line

Plot the obtained ordered pairs -5,2 and -1,1 on Cartesian plane to obtain the graph of the line with slope m=-14.

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