Hey!
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Steps To Solve:
Slope Formula:
![(y2-y1)/(x2-x1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bfzf3yhi4vb32rywgz5x1tf3eazz6f61eq.png)
~Substitute with the coordinates given
![(-6 - r)/(0 - 1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qccj8nvem7bpuc42ohsdgtu79c9y6f1cln.png)
~Simplify
![(-6 - r)/(-1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3v9v7i3g8p4ouc82bmjgrgyqoay1472uov.png)
Now we can solve for r.
~Simplify the equation.
r + 6 = -4
~Subtract 6 to both sides
r + 6 - 6 = -4 - 6
~Simplify
r = -10
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Hence, the value of r is
![\Large\boxed{\mathsf{-10}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t31l9zdkv64uvkf0oytq8uvn3s7t51wkwk.png)
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Hope This Helped! Good Luck!