SOLUTION: find the intercepts and then use them to graph the equations. 2y-6=2x

Algebra ->  Graphs -> SOLUTION: find the intercepts and then use them to graph the equations. 2y-6=2x      Log On


   

Question 157950: find the intercepts and then use them to graph the equations.
2y-6=2x
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


2y-6=2x Start with the given equation.


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


0-6=2x Multiply 2 and 0 to get 0.


-6=2x Combine like terms.


-3=x Divide both sides by 2 to isolate x.


So the answer is x=-3


So the x-intercept is .


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y-intercept


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


2y-6=2x Start with the given equation.


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


2y-6=0 Multiply 2 and 0 to get 0.


2y=6 Add 6 to both sides.


y=%286%29%2F%282%29 Divide both sides by 2 to isolate y.


y=3 Reduce.


So the y-intercept is .




So we have these intercepts:
x-intercept:

y-intercept:



Now plot the two points and




Now draw a line through the two points to graph -2%2Ax%2B2%2Ay=6
graph of -2%2Ax%2B2%2Ay=6 through the x-intercept and y-intercept