Question

The coordinates below represent two linear equations.

How many solutions does this system of equations have?


Line 1
x y
-3 5
0 4
Line 2
x y
0 4
6 2

A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answer 1

I think its C am i correct?

Answer 2

No, because if you find the slope of both of these, then you would tell that they have the same slope which means they will have infinitely many solutions because they are the exact same line :)

Answer 3

if i'm wrong show an example on how I got it wrong please thank you xD btw i give medals

Answer 4

okay so I will use this one as an example, is that okay?

Answer 5

ys sure go right ahead

Answer 6

so to find slope, it is y2-y1/x2-x1

line 1: (4-5)/(0-(-3)) = -(1/3) (minus a negative same as adding positive)
line 2: (2-4)/(6-0) = -(1/3) -->simplifies to be the same...

and you can see that the y-intercept of both is 4 :)

Answer 7

Do you understand how I got that?

Answer 8

ye i do :)

Answer 9

hold on let me work it out

Answer 10

do i divide them both when i'm done subtracting them?

Answer 11

@haleyelizabeth2017

Answer 12

There's no need to divide.

Answer 13

For the second one, we just simplified it to find out that they are the same :)

Answer 14

And you just leave it in fraction form

Answer 15

am i correct?

Answer 16

except they are negative and the second one needs to be simplified :) but other than that, yes :)

Answer 17

kk So, how do i put a fraction on a graph?

Answer 18

@haleyelizabeth2017

Answer 19

You have to graph it?

Answer 20

I don't know how to explain it, but I have to go...... :(

Answer 21

sorry!

Answer 22

aww man okay bye then :/ thanx anyway