Question

Find the midpoint of A(5,3) and B(3,-5). Place your answer in (x,y) notation.

(1, -1)

(4,-1)

(-1, 1)

(4, 1)
Given A(6, -17), B(-6, 17), C(4, 9), D(-4, 4), the midpoint of which segment is at the origin?

AB

BC

CD

AD
1 points
QUESTION 14

Which is the equation of the line passing through the points A(3, -3) and B(-4, 11)?

y = -6x + 3

y = -2x + 3

y = 9x − 3

y = 4x − 9

Answer 1

The midpoint coordinates of a segment can be found by first taking the average of the x-coordinates of the endpoints.

Answer 2

What is the average of 5 and 3?

Answer 3

is it 8?

Answer 4

That is the sum of them. Now, divide by 2.

Answer 5

4

Answer 6

(4, ?)

Now take the average of the y-coordinates of the endpoints of the segment.

Answer 7

2

Answer 8

=(4,-1)

Answer 9

Not quite. What is 3 - 5 = ?

Answer 10

2

Answer 11

-2

Answer 12

oh yeah sorry

Answer 13

Then divide by 2 to get ?

Answer 14

=-1

Answer 15

Yes, so that is (4, -1), putting the components together.

Answer 16

ok should we get started on Q2?

Answer 17

Yes.

Answer 18

The origin has coordinates (0,0). So, the task is to find which segment has a midpoint there.

Answer 19

ok

Answer 20

We have six segments to check:

Segments AB, AC, AD, BC, BD, and CD.

Answer 21

is it located in segment AB?

Answer 22

Let's see.

A(6,-17) and B(-6, 17)

Adding the x-coordinates gives 0. Same for the y-coordinates.

Answer 23

There may be more than one answer.

Answer 24

is the answer i chose correct?

Answer 25

Yes, I forgot that there were options so no need to check all possible segments.

Answer 26

ok

Answer 27

You can use this online calculator for the last problem.

http://www.mathportal.org/calculators/analytic-geometry/two-point-form-calculator.php

Enter the two points and choose the point-slope option.

Answer 28

is the answer y=-2x+3

Answer 29

That is what I got.