SOLUTION: Rewrite the equation –7x + 8y = –40 as a function of x.

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Question 92966: Rewrite the equation –7x + 8y = –40 as a function of x.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


-7x%2B8y=-40 Start with the given equation


-7x%2B8y%2B7x=-40%2B7x Add 7x to both sides


8y=7x-40 Simplify


%288y%29%2F%288%29=%287x-40%29%2F%288%29 Divide both sides by 8 to isolate y


y+=+%287x%29%2F%288%29%2B%28-40%29%2F%288%29 Break up the fraction on the right hand side


y+=+%287%2F8%29x-5 Reduce and simplify


The original equation -7x%2B8y=-40 (standard form) is equivalent to y+=+%287%2F8%29x-5 (slope-intercept form)


The equation y+=+%287%2F8%29x-5 is in the form y=mx%2Bb where m=7%2F8 is the slope and b=-5 is the y intercept.