Solution to the graph
Solution to the equation
Parallel, intersect or Same
Number of solutions
Solve by graphing
100
no solution
100
( 1,5) y= x + 4
y= 2x + 3
yes it is a solution
100
y= 2x + 4
y= 4+2x
Same Line
100
no solutions
100
y=x+2
y=-x+4
200
(4,6)
200
(-2,4) y= -x + 2
y= x + 2
No not a solution
200
y=-4x +8
y=-4x -8
Parallel Lines
200
one solution
200
y=3x-5
y=-x-1
300
(2,2)
300
(-5, 6) 2x + 5y = 20
x - y =-11
yes it is a solution
300
y= -2x + 6
y= 3x +1
Intersecting Lines
300
Infinite many
300
x-y=-1
3x+y=9
400
(1,-2)
400
(3,-7) 3x - 2y = 22
x -10=y
no it is not a solution
400
-3x = y + 3
y = 3x + 3
Same Line
400
one solution
400
y=1/2x +5
y=1/2x + 1
500
(-2,6)
500
(-8,-4) x -2y =0
2y=x
yes it is a solution
500
4x + 2y = 2
y + 2x = 4
Parallel Lines
500
no solution
500
2x+2y=6
4x-6y+12
