The value of r is -24
Step-by-step explanation:
Given points are:
(1,r) and (5,-4)
Let the points be:
(x1,y1) = (1,r)
(x2,y2) = (5,-4)
m = 5
The slope is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\5 = \frac{-4-r}{5-1}\\5 = \frac{-4-r}{4}\\5 * 4 = -4-r\\20 = -4-r\\20+4 = -4-r+4\\24 = -r\\r = -24[/tex]
Hence,
The value of r is -24
Keywords: Slope, coordinates
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