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Question 706628: Find the linear function satisfying the given conditions.
The x− and y−intercepts of the inverse function are 8 and −1, respectively.
Answer by josgarithmetic(39621)   (Show Source):
You can put this solution on YOUR website! The general form(?) helps you determine the inverse described based on the x and y intercepts. From that equation, find its inverse, which will be the equation asked for.
Two points known from given intercepts:
(8,0), and (0,-1).
slope, m=(8-0)/(0-(-1))=8.
This inverse line is y=8x+b, but since you already know the y intercept is -1, this equation is then y=8x-1.
Question was for the inverse of what was just found. That is how the question was arranged, that the two lines are inverses.
These being lines, we can simply exchange x for y and if desired, solve for y.
Inverse of y=8x-1 is x=8y-1:
x+1=8y
8y=x+1
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