SOLUTION: The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –6 3 3 6 Line 2 x y –3 1

Algebra ->  Linear-equations -> SOLUTION: The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y –6 3 3 6 Line 2 x y –3 1       Log On


   

Question 920050: The coordinates below represent two linear equations.

How many solutions does this system of equations have?


Line 1
x y
–6 3
3 6

Line 2
x y
–3 1
3 3

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Line 1
x y
–6 3
3 6 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = -3/-9 = 1/3
y - 6 = (1/3)(x-3)
y = (1/3)x + 5
........
Line 2
x y
–3 1
3 3 m =%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29 = -2/-6 = 1/3
y - 3 = (1/3)(x-3)
y = (1/3)x + 2
Same Slope. y-intercept of Line1 = 5 and Intercept of Line2 = 2.
Lines are Parallel. NO Solution