Question

Parallelogram ABCD has coordinates of A (1,5) B (6,3) C(3,-1) and D(-2,1). What are the coordinates of E, the intersection of diagonals AC and BD

Answer 1

You can solve it by making equations of AC and BD and finding the point of intersection of the two equations by linear equations in two variables.

Answer 2

@christtinaaaxo do you know how to find the equation of a straight line???

Answer 3

please help me i don't know how to do it

Answer 4

okay then, this should be easy:-

Suppose I have two points (a,b) and (c,d) and I want an equation which passes through the two points so this is what I do:-

(y-b)/(x-a) = (b-d)/ (a-c)

Answer 5

Now, you make the equations of AC and BD.

Answer 6

do you have to do y=mx+b

Answer 7

yes

Answer 8

this is the formula for equation passing through two points..

Answer 9

okay i'm sorry as you both can there is no hope for me and i will be failing my regent

Answer 10

No you won't! Even if you would, solving it is worth a try.

Answer 11

Go on, you have the points, I have time (as you see), put the values and give me two equations. It's very easy. Just try.

Answer 12

do you have to do the midpoint formula first?

Answer 13

No. I gave you an equation. You can use that for AC and BD. THAT is step 1.
Step 2 is solving the values for x and y. See, the value which you will get will be common for the likes AC and BD to intersect.
THAT is your answer.

Answer 14

i got (2,2) as an answer and that is one of my choices

Answer 15

there you go.

Answer 16

thank you very much !

Answer 17

No problemo. ;)