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IgorLugansk [536]
3 years ago
7

Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P

art B: Plot point C(2,7). If M is the midpoint of CD, what are the coordinates of D?
please help me
Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

a. M(x,y) = (-1,-1)

b. D(-4,-9)

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

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

Where

(x_1,y_1) = (-8,7)

(x_2,y_2) = (6,-9)

Substitute these values in the formula

M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})

M(x,y) = (\frac{-2}{2},\frac{-2}{2})

M(x,y) = (-1,-1)

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

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

Where

(x_1,y_1) = (2,7)

(x,y) = (-1,-1)

Substitute these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

Solving for x2

-1 = \frac{2 + x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

x_2 = -2 - 2

x_2 = -4

Solving for y2

-1 = \frac{7 + y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

y_2 = -2 - 7

y_2 = -9

Hence, the coordinates of D is

D(-4,-9)

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