Answer
$(0,1)$ and $(0,7)$.
Work Step by Step
Let the point(s) be $(0,y)$, its distance to $(4,4)$ is $d=\sqrt {(0-4)^2+(y-4)^2}=5$ or $(y-4)^2=9$, thus $y=4\pm3=1,7$ which give answers $(0,1)$ and $(0,7)$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter F - Foundations: A Prelude to Functions - Section F.1 The Distance and Midpoint Formulas - F.1 Assess Your Understanding - Page 7: 48
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