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Chapter 2: Q22. (page 105)

Find the slope of the line that passes through each pair of points

鈥�鈥�(5,7),(4,-6)

Short Answer

Expert verified

The Slope of the line that passes through the points (5,7),(4,-6) is 13.

Step by step solution

01

Step-1 – Apply the concept of slope

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,y2is given by m=y2-y1x2-x1 where x1鈮�x2.

02

Step-2 –  Example of a slope through two points

Suppose a line passes through the points (2,4),(3,0). Then the slope of the line passing through these points is given by

m=0鈭�43鈭�2=鈭�41=鈭�4

03

Step-3 – Calculate the slope of the given points

The given points are 5,7and(4,-6). Therefore, x1=5;x2=4;y1=7;y2=-6.

Hence the slope of the line through these points is calculated as

m=鈭�6鈭�74鈭�5=鈭�13鈭�1=13

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