SOLUTION: use the intercepts to graph the equations x+2y=4

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Question 254638: use the intercepts to graph the equations
x+2y=4
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


x%2B2y=4 Start with the given equation.


x%2B2%280%29=4 Plug in y=0.


x%2B0=4 Multiply 2 and 0 to get 0.


x=4 Simplify.


So the x-intercept is .


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y-intercept


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


x%2B2y=4 Start with the given equation.


0%2B2y=4 Plug in x=0.


2y=4 Simplify.


y=%284%29%2F%282%29 Divide both sides by 2 to isolate y.


y=2 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph x%2B2y=4.


Graph of x%2B2y=4