Which equation is parallel to CD which passes through through points C (-3,4) and D (7,-2)?
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Answer:
y = - [tex]\frac{3}{5}[/tex] x + 1
Step-by-step explanation:
Parallel lines have equal slopes
Calculate m of CD using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = C(- 3, 4) and (x₂, y₂ ) = D(7, - 2)
m = [tex]\frac{-2-4}{7+3}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex] , thus
y = - [tex]\frac{3}{5}[/tex] x + 1 ← is parallel to CD