Question

The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
–6 3
3 6
Line 2
x y
–3 1
3 3


A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

for line 1 i got 3/9

and for line 2 i got 2/0

Answer 1

@AlexandervonHumboldt2

Answer 2

help plz

Answer 3

I can check your answers. Hold on.

Answer 4

ok

Answer 5

Is this >>for line 1 i got 3/9 and for line 2 i got 2/0 >>

Are those slopes or what?

Answer 6

yea they r

Answer 7

The equation of the first line is this: y = (1/3) * x + 5

I got this using the online calculator that gives the line equation when two points are put into the calculator.

It is at this URL: http://www.mathportal.org/calculators/analytic-geometry/two-point-form-calculator.php

Answer 8

Now, for the next line's equation.

Answer 9

Line Two's equation is this: y = (1/3) * x + 2

Answer 10

Look at the two lines together.

y = (1/3) * x + 5

y = (1/3) * x + 2

Answer 11

i think it is D

Answer 12

They have the same slope but different y-intercepts.

They are parallel lines. Recall that two lines with the same slope are parallel or the same line. These cannot be the same line because they have different y-intercepts.

Answer 13

so C

Answer 14

I don't see that it is D.

Hold on and let's look at the graphs of the two lines on the same axes.

Answer 15

Not C.

Answer 16

Click on this link and look at the blue and red lines.
How many points do they have in common?

http://www.wolframalpha.com/input/?i=+y+%3D+%281%2F3%29+*+x+%2B+5%2C+y+%3D+%281%2F3%29+*+x+%2B+2

Answer 17

I have attached the graphs here.

Answer 18

A

Answer 19

How many solutions does this system of equations have?

ZERO

Answer 20

yup thanks

Answer 21

I agree with option A.

Answer 22

You are welcome.