The missing value of y such that the point (1, y) is equidistant from the points (5, 1) and (10, - 3) is - 9.125.
<h3>What is the value of the missing coordinate?</h3>
In this problem we have two points that are equisdistant to a third point, then we must solve the following Pythagorean form:
(1 - 5)² + (y - 1)² = (10 - 1)² + (- 3 - y)²
16 + (y - 1)² = 81 + (- 3 - y)²
(y - 1)² - (- 3 - y)² = 65
(y² - 2 · y + 1) - (9 + 6 · y + y²) = 65
- 8 · y - 8 = 65
y = 73 / - 8
y = - 9.125
The missing value of y such that the point (1, y) is equidistant from the points (5, 1) and (10, - 3) is - 9.125.
To learn more on equidistant points: brainly.com/question/28038252
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