Answer:
c = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{1}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)
m = [tex]\frac{c-4}{2-5}[/tex] = [tex]\frac{c-4}{-3}[/tex] , then
[tex]\frac{c-4}{-3}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(c - 4) = - 3
2c - 8 = - 3 ( add 8 to both sides )
2c = 5 ( divide both sides by 2 )
c = [tex]\frac{5}{2}[/tex]
