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Chapter 2: Q30. (page 102)

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

3,-2,m=52

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 3,-2 along with the slope m=52.

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

Now, from the ordered pair 3,-2 move 5 units up (on y-axis) and 2 units right (on x-axis).

Therefore, the obtained ordered pair is 5,3.

03

Step-3 – Graph the line

Plot the obtained ordered pairs 3,-2and 5,3 on Cartesian plane to obtain the graph of the line with slope m=52.

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