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Chapter 2: Q28. (page 102)

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

-3,24,10,-41

Short Answer

Expert verified

The slope of the line is m=-5.

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 -3,24and10,-41.

Here x1,y1=-3,24andx2,y2=10,-41.

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

m=y2鈭�y1x2鈭�x1=鈭�41鈭�2410鈭�鈭�3

03

Step-3 – Calculation

Simplify the value obtained for the slope of the line.

m=鈭�41鈭�2410+3=鈭�6513=鈭�5

Hence, the slope of the line passing through the points -3,24and10,-41 is m=-5.

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