Answer:
- [tex]\frac{2}{3}[/tex] and [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = S(12, 9) and (x₂, y₂ ) = T(21, 3)
[tex]m_{ST}[/tex] = [tex]\frac{3-9}{21-12}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]
Repeat with
(x₁, y₁ ) = S'(4, 3) and (x₂, y₂ ) = T'(7, 1)
[tex]m_{S'T'}[/tex] = [tex]\frac{1-3}{7-4}[/tex] = - [tex]\frac{2}{3}[/tex]
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(x₁, y₁ ) = R(24, 18) and (x₂, y₂ ) = S(12, 9)
[tex]m_{RS}[/tex] = [tex]\frac{9-18}{12-24}[/tex] = [tex]\frac{-9}{-12}[/tex] = [tex]\frac{3}{4}[/tex]
Repeat with
(x₁, y₁ ) = R'(8, 6) and (x₂, y₂ ) = S'(4, 3)
[tex]m_{R'S'}[/tex] = [tex]\frac{3-6}{4-8}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]
