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Chapter 2: Q3. (page 106)

3.What is the slope of the line that contains the points 15,7and6,4?

localid="1647620242053" A.14B.13C.38D.23

Short Answer

Expert verified

The slope of a line that contains the points 15,7and6,4 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,y2 is 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 15,7and(6,4). Therefore, x1=15;x2=6;y1=7;y2=4.

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

m=4鈭�76鈭�15=鈭�3鈭�9=13

Hence the slope is 13.

Therefore, option B is correct.

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