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Answer:
coordinate of the other endpoint is (-9,-2)
Step-by-step explanation:
Given that a segment has endpoints at (1, -2). The midpoint is at (-4, -2).
Now we need to find about what are the coordinates of the other endpoint.
let the coordinates of other end points are (x,y)
Then mid point of (1,-2) and (x,y) is given by mid point formula:





hence coordinate of the other endpoint is (-9,-2)
we can see that
semicircle is cut off from a rectangle
Area of rectangle:
length =8
width =14
area =length*width


Area of semicircle:
diameter=8
so, radius =4



now, we can find resultant area


so, option-C..........Answer
First, find the slope of the given points (m = y2 - y1 / x2 - x1)
m = (6-1) / (-4-1) = 5/-5 = -1
Then substitute the slope and the coordinates of either point for x and y into y = mx + b, we’ll use (-4,6)
6 = (-1)(-4) + b
Solve for b
6 = 4 + b, subtract 4 from both sides: b = 2
Rewrite y = mx + b with m = -1 and b = 2
Equation: y = -1x + 2 or y = -x + 2