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Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$

 Aug 15, 2025
 #1
avatar+142 
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The points are (1,-5) and (6,-10).  I hope this helps!

 Aug 15, 2025
 #3
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Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$     

 

I graphed  (x 2)2 + (y 7)2 = 25  and  y = 5x 28  on Desmos.     

 

The points where they intersect are  (7, 7)  and  (6.61538, 5.07692)     

 

.     

 Aug 19, 2025

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