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Chapter 2: Q27. (page 102)

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

5.5,-5.5,11,-7

Short Answer

Expert verified

The slope of the line is m=-311.

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 –Substitute and solve

Consider the provided ordered pairs 5.5,-5.5and11,-7.

Here x1,y1=5.5,-5.5andx2,y2=11,-7.

Recall the formula of slope of the line and apply it.

m=y2鈭�y1x2鈭�x1=鈭�7鈭�鈭�5.511鈭�5.5

03

Step-3 – Calculation

Simplify the value obtained for the slope of the line.

m=鈭�7+5.511鈭�5.5=鈭�1.55.5=鈭�1555=鈭�311

Hence, the slope of the line passing through the points 5.5,-5.5and11,-7 is m=-311.

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