Answered

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 :

konrad509
Line 1
[tex]m=\dfrac{7-6}{-2-0}=-\dfrac{1}{2}[/tex]

Line 2
[tex]m=\dfrac{0-(-3)}{3-0}=\dfrac{3}{3}=1[/tex]

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