He coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1

x y

-3 6

3 4

Line 2

x y

-6 7

9 2

A.

0

B.

exactly 1

C.

exactly 2

D.

infinitely many

Line 1 slope: (4-6) / (3 - - 3) = - 1/3. Y-intercept = 5

y = - 1/3x + 5

Line 2 slope: (2-7) / (9 - - 6) = - 1/3. Y-intercept = 5

y = - 1/3x + 5

The lines are exactly the same, and there are infinitely many