Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

Solution:

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is

Need to determine value of r.

Slope of a line passing through point  is given by following formula:

 --- eqn 1

On substituting the given value in (1) we get

Hence the value of "r" is -2

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