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91Ó°ÊÓ

Find the value of r so the line that passes through the pair of points has the given slope.

−4,8r,12,m=43

F−4

G−1

H 0

J 3

Short Answer

Expert verified

The option G−1 represents the required value.

Step by step solution

01

Step 1. Determine the formula that can be used.

The slope formulam=y2−y1x2−x1can be used to calculate the required value.

02

Step 2. Take the help of the obtained method.

Take the help of formula for slope of a line represented by m=y2−y1x2−x1in which the required values can be filled by using the provided points and slope as the points are in the form of x1,y1x2,y2.

43=12−8r−−443=4r+443⋅3=4r+4⋅34=12r+44r+4=12r+4⋅r+44r+16=124r+16−16=12−164r=−44r4=−44r=−1

03

Step 3. Write the conclusion.

The value of r is−1 so it is the required value.

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