Question

Can someone show me the steps to solve this problem?

Point A (5,7) is 10 units away from point be (13,y). Solve for the value of y.

Answer 1

\[\sqrt{\left( 13-5 \right)^{2}+\left( y-7 \right)^{2}}=10\]
\[64+\left( y-7 \right)^{2}=100\]

Answer 2

\[\left( y-7 \right)^{2}=100-64=36\]

Answer 3

\[y-7=\pm 6\]

Answer 4

solve for y and get two points.