Question

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

Answer 1

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