Answer: B
Step-by-step explanation:
To find r, we need to use the formula to find slope. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. Since we are given the coordinates and slope, we can plug them into the formula and solve for r.
[tex]\frac{2}{3} =\frac{3-5 }{r-4}[/tex] [multiply both sides by r-4]
[tex]\frac{2r-8}{3}=3-5[/tex] [subtract]
[tex]\frac{2r-8}{3}=-2[/tex] [multiply both sides by 3]
[tex]2r-8=-6[/tex] [add both sides by 8]
[tex]2r=2[/tex] [divide both sides by 2]
[tex]r=1[/tex]
Now that we found that r=1, we know that the answer is B.
