Question

What is the inverse of the equation y = 3x + 2?

Answer 1

Answer:   y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

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To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3