Answer:
r = 1
Step-by-step explanation:
(6, -3) ; (14, r)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{r-[-3]}{14-6}=\frac{1}{2}\\\\\frac{r + 3 }{8} = \frac{1}{2}\\[/tex]
Cross multiply,
(r + 3)*2 = 1*8
2r + 6 = 8 {Subtract 6 from both sides }
2r = 8 - 6
2r = 2 {divide both sides by 2}
r = 2/2
r = 1
