Question

Equation 1: 2x - 3y = 6 Equation 2: y = 2 3 x - 6 What is the best description for the lines? A) parallel B) perpendicular C) the same line D) intersecting but not perpendicular Eliminate

Answer 1

Equation 1: 2x - 3y = 6

Equation 2: y =

2

3

x - 6

What is the best description for the lines?

Parallel

Answer 2

Assuming equation 2 is y = (2/3)x-6, then the answer is A) Parallel.

Solve 2x-3y = 6 for y and you'd get y = (2/3)x-2. The slope here is 2/3 as it is for equation 2 as well. The slopes are the same but y intercepts are different, so the lines are parallel.