SOLUTION: change each equation to slope intercept form and state the slope and y intercept: 2x-3y+6=0

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Question 147345: change each equation to slope intercept form and state the slope and y intercept: 2x-3y+6=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x-3y%2B6=0 Start with the given equation.


-3y%2B6=0-2x Subtract 2x from both sides.


-3y=0-2x-6 Subtract 6 from both sides.


-3y=-2x-6 Combine like terms on the right side.


y=%28-2x-6%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=%282%2F3%29x%2B2 Simplify.


So the equation is now in slope intercept form y=mx%2Bb where the slope is m=2%2F3 and the y-intercept is b=2, which is the point (0,2).