SOLUTION: Why is it true that at x-intercept, the value of y is 0, and at y-intercept, the value of x is 0?

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Question 227550: Why is it true that at x-intercept, the value of y is 0, and at y-intercept, the value of x is 0?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Why is it true that at x-intercept, the value of y is 0,
and at y-intercept, the value of x is 0?

To answer your question, let's look at an example
shown below by graphing two points since two points make a line:

2x%2B5y=10 Equation of a line in standard form.

Step 1. Let x=0 then 5y=10 or y=2. So one point is (0,2).

Step 2. Let y=0 then 2x=10 or x=5. So another point is (5,0).

Step 3. Now, draw a graph using these two points (0,2) and (5,0).

graph%28400%2C400%2C+-10%2C10%2C-10%2C10%2C+-2x%2F5%2B2%29

Step 4. Note that at point (0,2) the line intersects the y-axis and at point(5,0) the line intersects the x-axis.

So the y-intercept is when x=0 or at point (0,2).

And the x-intercept is when y=0 or at point (5,0).

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV