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

@Anastasia1233

The lines do not have the same y-intercept so they are different lines.
That rules out this option: D. infinitely many

Answer 2

The slopes of the lines determined by the points are the same so the lines are parallel. We already know that the lines do not coincide.

So, that leaves A. 0 solutions.

Hold on; let's take a look at the graphs.

Answer 3

Note that parallel lines do not intersect.

Answer 4

Questions about this? @Anastasia1233

Answer 5

@Anastasia1233 Do you know the answer now?

Answer 6

Um. A.