SOLUTION: I have a couple of questions on Linear equation. A little bit of explanatiom will help. Thanks a lot. 1. How do I find all points on the y-axis that are 12 units from (5, -3)

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Question 40927: I have a couple of questions on Linear equation. A little bit of explanatiom will help. Thanks a lot.
1. How do I find all points on the y-axis that are 12 units from (5, -3)
2. How do I find the equation of a circle that has a diameter with an endpoint (2,3) and ( 4,11). Write the answer in standard form.

Answer by mbarugel(146)   (Show Source): You can put this solution on YOUR website!
Hello!
All points that are 12 units from (5, -3) form a circle, with center (5, -3) and radius 12. Recall that the formula for a circle with radius r and center (h, k) is:

So, in your case:

The points on the y-axis are the ones in which x = 0. So using that in our equation:



We get that:


Those are the two points on the y-axis that are 12 units away from (5, -3)

I hope this helps!
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