In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel? c−a/b⋅−d/e=−1 c−a/b=d/e c−a/b⋅d/e=−1 c−a/b=−d/e

=

Parallel lines have equal slopes m

calculate the slope m of each line using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (b, c )

m = =

repeat with

(x₁, y₁ ) = (0, -d ) ) and (x₂, y₂ ) = (e, 0 )

m = =

For the lines to be parallel = → (b)

B. (c - a)/b = d/e

Step-by-step explanation:

Slope of upper line:

(c - a)/b

Slope of lower line:

d/e

Parallel lines have equal slopes giving

(c - a)/b = d/e

B.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

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step-by-step explanation: