Question

The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
–1 6
0 4
Line 2
x y
0 7
1 5


A.0

B.exactly 1

C.exactly 2

D.infinitely many

Answer 1

infinitely many
if the 2 lines were the same line, they would have the same slope

exactly 1
if the 2 lines crossed

0
if they were parallel or again, they would have the same slope.

so off to our slope formula
\[m=\frac{ y2-y1 }{ x2-x1 }\]

plugging your first set of points from Line 1

m= 4-6/0-(-1)=?

DO THIS FOR LINE 2
then we will compare slopes first.

Answer 2

??

Answer 3

ok lets take it slower

Answer 4

ok

Answer 5

the questions is asking about solutions to the lines
if we look at the slope of the lines --and graph the lines
we can determine the number of solutions it has

we do this by using the slope formula:

\[m=\frac{ y2-y1 }{ x2-x1 }\]

Answer 6

ok

Answer 7

m= 4-6/0-(-1)=?

I did the first one for you.
if you look at the table for line 1
y2=4
y1=6
x2=0
x1=-1

i plugged them in the slope formula
m= 4-6/0-(-1)=? just preform the math.

that will give you the slope for Line 1


the we will do that for Line 2 and compare the slopes.

Answer 8

im still confused

Answer 9

m= 4-6/0-(-1)=? just preform the math.

try this first

Answer 10

i dont know how

Answer 11

well what is 4-6

Answer 12

2

Answer 13

no since 6 is bigger than 4 it is??

Answer 14

-2

Answer 15

yes now do
0-(-1)

Answer 16

-1

Answer 17

since there are 2 negatives in front of the one it is
0+1=

Answer 18

so its 1

Answer 19

so our slope is -2/1 0r just

-2

Answer 20

remember Line 1 form your chart?
Line 1
y2=4
y1=6
x2=0
x1=-1

Line 2 fill in Line 2 from oyur chart
y2=
y1=
x2=
x1=

Answer 21

yeah

Answer 22

?

Answer 23

@zpupster

Answer 24

sorry had to leave.

Line 2 fill in Line 2 from your chart in your question.
y2=
y1=
x2=
x1=

Answer 25

??