For which value of a are the graphs of - 4 = 3x + 6y and ax - 8y = 12 parallel?

Question

Mathematics

Chase Hoover

6 November, 18:35

For which value of a are the graphs of - 4 = 3x + 6y and ax - 8y = 12 parallel?

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Answers (1)

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Ewing · Answer 1

A = - 4

If you plug in - 4, it becomes - 4x - 8y = 12 and if you turn this into slope-intercept form, it is y = - 1/2x + 12.

The first equation, - 4 = 3x + 6y, put into slope-intercept form is y = - 1/2x - 2/3

They have the same slope, making them parallel.