SOLUTION: Use the intercept to graph the equation. x + 2y = 4 How do I do this, I forgot already, I am so glad you are here for me. Thank you!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the intercept to graph the equation. x + 2y = 4 How do I do this, I forgot already, I am so glad you are here for me. Thank you!      Log On


   

Question 141286: Use the intercept to graph the equation.
x + 2y = 4
How do I do this, I forgot already, I am so glad you are here for me. Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B2%2Ay=4 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
x%2B2%2A%280%29=4 Plug in y=0


x=4 Simplify




So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



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x%2B2%2Ay=4 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
%280%29%2B2%2Ay=4 Plug in x=0

2%2Ay=4 Simplify

x=4%2F2 Divide both sides by 2



y=2 Reduce



So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

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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 x%2B2%2Ay=4
graph of x%2B2%2Ay=4 through the points and