SOLUTION: find the x-intercept and the y-intercept for the graph equation 2x+2y= -6

Algebra ->  Linear-equations -> SOLUTION: find the x-intercept and the y-intercept for the graph equation 2x+2y= -6      Log On


   

Question 350949: find the x-intercept and the y-intercept for the graph equation 2x+2y= -6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


To find the x-intercept, plug in y=0 and solve for x


2x%2B2y=+-6 Start with the given equation.


2x%2B2%280%29=+-6 Plug in y=0.


2x%2B0=+-6 Multiply 2 and 0 to get 0.


2x=+-6 Simplify.


x=%28-6%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-3 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


2x%2B2y=+-6 Start with the given equation.


2%280%29%2B2y=+-6 Plug in x=0.


0%2B2y=+-6 Multiply 2 and 0 to get 0.


2y=+-6 Simplify.


y=%28-6%29%2F%282%29 Divide both sides by 2 to isolate y.


y=-3 Reduce.


So the y-intercept is .


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Jim