Question

Find the coordinate A if M (-5,-9) is the midpoint of AB and B has coordinate of (3,-5)

Answer 1

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:

$M = (\frac{x_1+x_2}{2} , \frac{y_1,y_2}{2})$

Given

M = (-5,-9)

B(x2,y2) = (3,-5)

Putting the values

$(-5,-9) = (\frac{x_1+3}{2} , \frac{y_1-5}{2})$

Comparing respective elements

$\frac{x_1+3}{2} = -5\\x_1+3 = -5 * 2\\x_1+ 3 = -10\\x_1 = -10-3\\x_1 = -13\\AND\\\frac{y_1-5}{2} = -9\\y_1-5 = -9 * 2\\y_1-5 = -18\\y_1 = -18+5\\y_1 = -13$

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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