Answer: r=2
Step-by-step explanation:
We can use the given 2 points to find slope. Since we are given the slope, we can plug it into the formula and solve for r.
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =2[/tex] [plug in values]
[tex]\frac{12-r}{-6-(-11)} =2[/tex] [combine like terms]
[tex]\frac{12-r}{5} =2[/tex] [multiply both sides by 5]
[tex]12-r=10[/tex] [subtract both sides by 12]
[tex]-r=-2[/tex] [divide both sides by -1]
[tex]r=2[/tex]
