**Concept:** **The question tests on the basics of Coordinate Geometry**

**Solution:**

The product of slopes of 2 perpendicular lines = -1

Slope of the line containing the 2 points, m1 = y2−y1/x2−x1=5−(−2)/−3−4=7/−7=−1

So, -1 * m2 = -1. Therefore the slope of line 2 = 1

Now this line is the perpendicular bisector of (4, -2) and (-3,5).

The mid-point coordinate x = (4 + (-3)/2 = 1/2

and y = (-2 + 5) / 2 = 3/2

Using the slope point equation y - y1 = m(x - x1), we get y - 3/2 = 1(x - 1/2)

2y - 3 = 2x - 1

2y = 2x + 2

y = x + 1 (option e)