Respuesta :
Answer:
r=-10
Step-by-step explanation:
slope =(y2-y1)/(x2-x1)=-4
(-6-r)/(0-1)=-4
-6-r=4
r=-6-4=-10
Hey!
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Steps To Solve:
Slope Formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
~Substitute with the coordinates given
[tex]\frac{-6 - r}{0 - 1}[/tex]
~Simplify
[tex]\frac{-6 - r}{-1}[/tex]
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 [tex]\Large\boxed{\mathsf{-10}}[/tex]
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Hope This Helped! Good Luck!