joshmandddd joshmandddd
  • 12-11-2020
  • Mathematics
contestada

Which equation is parallel to CD which passes through through points C (-3,4) and D (7,-2)?

Which equation is parallel to CD which passes through through points C 34 and D 72 class=

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jimrgrant1 jimrgrant1
  • 12-11-2020

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

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