Question

The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x     y
–2   7
0     6
Line 2
x   y
3   0
0  –3


A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answer 1

Line 1

`m=(7-6)/(-2-0)=-(1)/(2)`

Line 2

`m=(0-(-3))/(3-0)=(3)/(3)=1`

Both lines have different slopes which means they're certainly not parallel and therefore they have one intersection point. So there is one solution.