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

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Mathematics

Jefferson Webb

3 April, 19:56

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

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Alonso · Answer 1

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.