Question

If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?

Answer 1

Answer: a = 5

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Work Shown:

Plug in (x,y) = (3,0)

ax - 8y = 15

a(3) - 8y = 15 .... replace x with 3

3a - 8(0) = 15 ... replace y with 0

3a - 0 = 15

3a = 15

a = 15/3

a = 5

The equation updates to 3x - 8y = 15.