SOLUTION: If a horizontal line has the equation f(x) = a and a vertical line has the equation x = a, what is the point of intersection? Therefore, the x-coordinate and y-coordinate must be w

Algebra ->  Linear-equations -> SOLUTION: If a horizontal line has the equation f(x) = a and a vertical line has the equation x = a, what is the point of intersection? Therefore, the x-coordinate and y-coordinate must be w      Log On


   

Question 1126548: If a horizontal line has the equation f(x) = a and a vertical line has the equation x = a, what is the point of intersection? Therefore, the x-coordinate and y-coordinate must be what?
*First I thought that the answers was (0,0), assuming that since no others numbers were given, but discovered that it was wrong. If someone could help it would appreciated.
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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The intersection point is (a,a).


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = a give you a horizontal line at y = a.

x = a gives you a vertical line at x = a.

the intersection of the horizontal line at y = a and the vertical line at x = 0 is the point (a,a).

this might be easier to see on a graph.

let a = 5

then the intersection of f(x) = 5 and x = 5 would be the point (5,5) as shown on the following graph.

when you graph f(x) = 5, you make f(x) = y and the equation becomes y = 5.

here's the graph.

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