Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula, then equate to [tex]\frac{1}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, r) and (x₂, y₂ ) = (7, 2)
m = [tex]\frac{2-r}{7-3}[/tex] = [tex]\frac{2-r}{4}[/tex] , then
[tex]\frac{2-r}{4}[/tex] = [tex]\frac{1}{4}[/tex] ( since denominators are both 4, equate the numerators )
2 - r = 1 ( subtract 2 from both sides )
- r = - 1 ( multiply both sides by - 1 )
r = 1 → C
