SOLUTION: Find the slope and y-intercept. –5x + 3y = 9

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Question 82397: Find the slope and y-intercept.
–5x + 3y = 9

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First solve for y:
-5x%2B3y=9

3y=9%2B5x Add 5x to both sides

y=3%2B%285%2F3%29x Divide both sides by 3

So we have

y=%285%2F3%29x%2B3

So it is now in y=mx%2Bb form where m is the slope and b is the y intercept. Since m=5%2F3 and b=3 the slope is 5%2F3 y-intercept is (0,3) (b is always the y coordinate of the y-intercept).
Here is the graph of y=%285%2F3%29x%2B3

+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C%285%2F3%29x%2B3%29+