Question

Indicate the equation of the given line in standard form.

The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2), B(-2, -2), C(1, -1), and D(6, 4).

Answer 1

Pleasee help me.

Answer 2

how far did you get with this?

Answer 3

I'm not sure where to begin.

Answer 4

have you plotted the points?

Answer 5

that's where I would start

plot the points and connect them to form a quadrilateral

Answer 6

Ok, after I plot them, what should I do after that.

Answer 7

visually you should see which diagonal is longer

are you able to see this?

Answer 8

Yes.

Answer 9

which diagonal is longer?

Answer 10

CD

Answer 11

a diagonal is not a side length (it passes through/near the center of the quadrilateral)

Answer 12

Okay, I'm not sure which is longer than. I have it drawn on notebook paper, but I'm not sure.

Answer 13

do you have geogebra? That's what I recommend to plot

Answer 14

No I dont.

Answer 15

alright, when you can, I recommend you download and install

for now, I can just upload what I'm seeing

Answer 16

see attached

Answer 17

based on that, which diagonal is longer?

Answer 18

The one that goes from point B to D?

Answer 19

so segment BD

Answer 20

sry i forgot the labels, but you are correct

Answer 21

so you need to find the equation of the line that goes through B(-2, -2) and D(6, 4).

Answer 22

Yes, how do I find the equation?

Answer 23

do you know how to find the slope?

Answer 24

No. I don't really understand the text in my assignments.

Answer 25

what are the x and y coordinates of (-2, -2)

Answer 26

same question about (6,4)

Answer 27

I'm not sure what you mean by x and y coordinates. Wouldn't they be x (-2) .. y (-2) and then x (6) ... y (4)

or are coordinates something else? I'm really confused. Sorry

Answer 28

yeah for (-2,-2) we have

x = -2
y = -2

also

for (6,4), we have

x = 6
y = 4

Answer 29

to find the slope, we subtract the y coordinates

4 - (-2) = 4 + 2 = 6

then we subtract the x coordinates (same order)

6 - (-2) = 6 + 2 = 8

Answer 30

After we get those differences, we divide the ydifference by the xdifference

ydifference/xdifference = 6/8 = 3/4

Answer 31

so the slope is 3/4

Answer 32

How would put the equation in standard form then?

Answer 33

have you seen something like y = mx+b before?

Answer 34

Yes.

Answer 35

what does m represent?

Answer 36

it's ok to not know the answer, but please respond in some way

Answer 37

I moved onto another question, sorry. I'll just ask my teacher tomorrow. Thanks tho! I appreciate your help! :)

Answer 38

No worries and that's probably the best way to do it.