SOLUTION: Find All points having an x-coordinate of 9 distance from the point is (3,-2) is 10

Question 1135669: Find All points having an x-coordinate of 9 distance from the point is (3,-2) is 10
Found 3 solutions by ikleyn, josgarithmetic, greenestamps:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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Find All points having an x-coordinate of 9 distance from the point is (3,-2) is 10
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Unclear.

Read your post and try to understand what is written there.

Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
?

Distance from point (3,-2) is 10:

All points having x coordinate of 9:

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check to see if either of these fail.
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!

Taking just a LITTLE more time when submitting your post to make it clear would be a good thing to do....

You wrote: "Find All points having an x-coordinate of 9 distance from the point is (3,-2) is 10"

Try, perhaps: "Find all points having an x-coordinate of 9, if the distance from the point (3,-2) is 10"

You want the distance from (3,2) to (9,y) to be 10.

You can use the distance formula (aka the Pythagorean Theorem) to solve the problem; but it's not needed.

The difference in the x coordinates is 6 and the distance is 10; that means you have a right triangle with one leg 6 and hypotenuse 10. That makes the other leg 8. (it is a multiple of the simplest Pythagorean triple, 3-4-5).

So the two y values are 8 more or less than the y value of the given point.

(1) 2+8 = 10
(2) 2-8 = -6

ANSWERS: (9,10) and (9,-6)
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