SOLUTION: Find the slope and y-intercept. –2x + 3y = 21

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Question 111433: Find the slope and y-intercept.
–2x + 3y = 21
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)


-2x%2B3y=21 Start with the given equation


-2x%2B3y%2B2x=21%2B2x Add 2x to both sides


3y=2x%2B21 Simplify


%283y%29%2F%283%29=%282x%2B21%29%2F%283%29 Divide both sides by 3 to isolate y


y+=+%282x%29%2F%283%29%2B%2821%29%2F%283%29 Break up the fraction on the right hand side


y+=+%282%2F3%29x%2B7 Reduce and simplify


The original equation -2x%2B3y=21 (standard form) is equivalent to y+=+%282%2F3%29x%2B7 (slope-intercept form)


The equation y+=+%282%2F3%29x%2B7 is in the form y=mx%2Bb where m=2%2F3 is the slope and b=7 is the y intercept.