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

Algebra ->  Graphs -> SOLUTION: use the intercepts to graph x + 2y = 4      Log On


   

Question 243588: use the intercepts to graph
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+%2B+2y+=+4 Start with the given equation.


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


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


x+%2B+0+=+4 Simplify.


x=4 Multiply.


So the x-intercept is .


------------------------------------------


y-intercept


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


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


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


+%2B+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 plot the x and y intercepts which are the points (4,0) and (0,2)





Now draw a straight line through the points to graph x+%2B+2y+=+4



Graph of x+%2B+2y+=+4 through the points (4,0) and (0,2)