The points (4, -11) and (8, r) lie on a line with slope 2. Find the missing coordinate r.

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Question:

The points (4, -11) and (8, r) lie on a line with slope 2. Find the missing coordinate r.

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Answer:The answer to your question is r = -3Step-by-step explanation:DataA (4, -11)B (8, r)slope = m = 2r = ?Process1.- Use the slope equation to find the coordinate r.Formula                [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]Substitution         [tex]m = \frac{r + 11}{8 - 4}[/tex] = 22.- Simplify                 [tex]\frac{r + 11}{4} = 2[/tex]3.- Solve for rMultiply both sides by 4                [tex]\frac{4(r + 11)}{4} = 2(4)[/tex]Simplify                 r + 11 = 8Subtract 11 in both sides                 r + 11 - 11 = 8 - 11Simplify                 r = -3        

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