Find the equation of the circle whose diameter is the line segment joining (-4,3) and (12,-1). Find also the intercept made by it on y-axis.

Explanation

To find the equation of the circle whose diameter is the line segment joining the points (-4, 3) and (12, -1), we can use the diametric form of the circle equation. Let's go through the steps to derive the equation and find the intercept on the y-axis.

### Step-by-Step Solution:

**Step 1: Identify the endpoints of the diameter.**
- The endpoints are given as \( (x_1, y_1) = (-4, 3) \) and \( (x_2, y_2) = (12, -1) \).

**Step 2: Write the equation of the circle in diametric form.**
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