Answer:
The answer to your question is r = -3
Step-by-step explanation:
Data
A (4, -11)
B (8, r)
slope = m = 2
r = ?
Process
1.- 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] = 2
2.- Simplify
[tex]\frac{r + 11}{4} = 2[/tex]
3.- Solve for r
Multiply both sides by 4
[tex]\frac{4(r + 11)}{4} = 2(4)[/tex]
Simplify
r + 11 = 8
Subtract 11 in both sides
r + 11 - 11 = 8 - 11
Simplify
r = -3
