SOLUTION: Find the slope and y-intercept of the graph of the equation Ax+By=C where B is not equal to 0. Use your results to find the slope and y-intercept of the graph of 3x+2y=18

Algebra ->  Linear-equations -> SOLUTION: Find the slope and y-intercept of the graph of the equation Ax+By=C where B is not equal to 0. Use your results to find the slope and y-intercept of the graph of 3x+2y=18      Log On


   

Question 541348: Find the slope and y-intercept of the graph of the equation Ax+By=C where B is not equal to 0. Use your results to find the slope and y-intercept of the graph of 3x+2y=18
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%2B2y=18 Start with the given equation.


2y=18-3x Subtract 3x from both sides.


2y=-3x%2B18 Rearrange the terms.


y=%28-3x%2B18%29%2F%282%29 Divide both sides by 2 to isolate y.


y=%28%28-3%29%2F%282%29%29x%2B%2818%29%2F%282%29 Break up the fraction.


y=-%283%2F2%29x%2B9 Reduce.


So the equation y=-%283%2F2%29x%2B9 is now in slope intercept form y=mx%2Bb where the slope is m=-3%2F2 and the y-intercept is b=9 note: the y-intercept is the point


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