Question

The coordinates below represents two linear equations

how many solutions does this system have

Line 1. Line 2
X y X. Y
-3 5 0. 4
0 4. 6. 2
I now it is not a
A 0
B exactly 1
C exactly 2
D infinatly

Answer 1

`\hbox{Line 1:}\\ m=(5-4)/(-3-0)\\ m=(1)/(-3)\\ m=-(1)/(3)\\\\ \hbox{Line 2:}\\ m=(4-2)/(0-6)\\ m=(2)/(-6)\\ m=-(1)/(3)\\`

Both lines have the same slope so they're parallel. They also pass through the same point
`(0,4)`. That means they're overlapping, so there is infinitely many solutions.