Question

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

Answer 1

y = -
`(3)/(5)` x + 1

Explanation:

Parallel lines have equal slopes

Calculate m of CD using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = C(- 3, 4) and (x₂, y₂ ) = D(7, - 2)

m =
`(-2-4)/(7+3)` =
`(-6)/(10)` = -
`(3)/(5)` , thus

y = -
`(3)/(5)` x + 1 ← is parallel to CD