SOLUTION: Find the y-intercept and the x-intercept for the equation. 5x + 2y = 40 What is the y- incercept? What is the x- intercept?

Algebra ->  Linear-equations -> SOLUTION: Find the y-intercept and the x-intercept for the equation. 5x + 2y = 40 What is the y- incercept? What is the x- intercept?      Log On


   

Question 129533: Find the y-intercept and the x-intercept for the equation.
5x + 2y = 40
What is the y- incercept?
What is the x- intercept?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5%2Ax%2B2%2Ay=40 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
5%2Ax%2B2%2A%280%29=40 Plug in y=0

5%2Ax=40 Simplify

x=40%2F5 Divide both sides by 5


x=8 Reduce



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



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5%2Ax%2B2%2Ay=40 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
5%2A%280%29%2B2%2Ay=40 Plug in x=0

2%2Ay=40 Simplify

x=40%2F2 Divide both sides by 2



y=20 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: