he coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
–3 5
0 4
Line 2
x y
0 4
6 2
A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many



Answer :

[tex]\hbox{Line 1:}\\ m=\frac{5-4}{-3-0}\\ m=\frac{1}{-3}\\ m=-\frac{1}{3}\\\\ \hbox{Line 2:}\\ m=\frac{4-2}{0-6}\\ m=\frac{2}{-6}\\ m=-\frac{1}{3}[/tex]

Both lines have the same slope, which means they are parallel. They also pass through the same point [tex](0,4)[/tex]. This means they're overlapping so there is infinitely many solutions.

Answer

I almost got a 1000 points

Step-by-step explanation: