The coordinates of Point A are (-13,-13)
Step-by-step explanation:
The formula for mid-point of two points (x1,y1) and (x2y2) is given by:
[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1,y_2}{2})[/tex]
Given
M = (-5,-9)
B(x2,y2) = (3,-5)
Putting the values
[tex](-5,-9) = (\frac{x_1+3}{2} , \frac{y_1-5}{2})[/tex]
Comparing respective elements
[tex]\frac{x_1+3}{2} = -5\\x_1+3 = -5 * 2\\x_1+ 3 = -10\\x_1 = -10-3\\x_1 = -13\\AND\\\frac{y_1-5}{2} = -9\\y_1-5 = -9 * 2\\y_1-5 = -18\\y_1 = -18+5\\y_1 = -13[/tex]
Hence,
The coordinates of Point A are (-13,-13)
Keywords: Coordinate geometry, mid-point
Learn more about mid-point at:
- brainly.com/question/5723059
- brainly.com/question/5639299
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