Question

ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2). make sure to show all work.

Answer 1

Answer:

Perpendicular Bisector Equation: y = 12x - 9.500

Step-by-step explanation:

Let find out the midpoint for given coordinates as follows:

[(-5+7)/2, (3 +2)/2]

= (2/2, 5/2)

= (1,5/2)

The midpoint coordinates are (1,5/2) means (x1 , y2)

2. Find the slop of line for given coordinates as follows:

(2-3)/(7-(-5)

= -1/12

3. Find the negative reciprocal as follows

-1/12

= 12 (m)

4. Now find the perpendicular bisector equation as follows:

y – y1 = m ( x – x1)

y – 3 = 12 (x – (-5)

y = 12x - 9.5