SOLUTION: Please help me solve this: Graph: 2x + y = 4 (using the intercept method)

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Question 316122: Please help me solve this:
Graph: 2x + y = 4 (using the intercept method)
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+%2B+y+=+4+ Start with the given equation.


2x+%2B+0+=+4+ Plug in y=0.


2x+=+4+ Simplify.


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


x=2 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+%2B+y+=+4+ Start with the given equation.


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


0+%2B+y+=+4+ Multiply 2 and 0 to get 0.


+y+=+4+ Simplify.


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+%2B+y+=+4+.


Graph of 2x+%2B+y+=+4+