SOLUTION: Find the slope and the y-intercept for 2x-3y=10.

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Question 281814: Find the slope and the y-intercept for 2x-3y=10.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x-3y=10 Start with the given equation.


-3y=10-2x Subtract 2x from both sides.


-3y=-2x%2B10 Rearrange the terms.


y=%28-2x%2B10%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=%28%28-2%29%2F%28-3%29%29x%2B%2810%29%2F%28-3%29 Break up the fraction.


y=%282%2F3%29x-10%2F3 Reduce.


So the equation y=%282%2F3%29x-10%2F3 is now in slope intercept form y=mx%2Bb where the slope is m=2%2F3 and the y-intercept is b=-10%2F3 note: the y-intercept is the point