SOLUTION: Graph the linear equation 2x+4y=16 also find its x and y intercepts

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Question 333721: Graph the linear equation
2x+4y=16
also find its x and y intercepts
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%2B4y=16 Start with the given equation.


2x%2B4%280%29=16 Plug in y=0.


2x%2B0=16 Multiply 4 and 0 to get 0.


2x=16 Simplify.


x=%2816%29%2F%282%29 Divide both sides by 2 to isolate x.


x=8 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%2B4y=16 Start with the given equation.


2%280%29%2B4y=16 Plug in x=0.


0%2B4y=16 Multiply 2 and 0 to get 0.


4y=16 Simplify.


y=%2816%29%2F%284%29 Divide both sides by 4 to isolate y.


y=4 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 2x%2B4y=16.


Graph of 2x%2B4y=16