What's my Slope?
y = 3x
3
y = 3x - 8
y = 8x + 4
Graphing
slope
m
Parallel lines
no solution
y = -x + 7
y = 2x + 1
(2, 5)
y = 2/5 x - 9
2/5
2x - 4x = 8
y = 1/2 x - 6
Substitution
y - intercept
b
lines that coincide
IMS or infinitely Many solutions
y = 4x + 3
Y = -x - 2
(-1,-1)
y = -x -2
-1
x = 4
Y = -5
graphing
( -3, 5) the -3
x
lines intersect at a point
one
y = 2x + 2
y = x - 1
(-3, -4)
y = 8
zero
-x + 3y = -12
4y + x = 8
Elimination
(4, 9) both numbers
(x, y)
same slope and same y-intercept
IMS Infinitely many solutions
y = 1/2 x + 5
y = -5/2 x -1
(-2, 4)
x = -4
undefined
Which method is most used?
Substitution
(8, 0) the zero
y
same slope - different y intercept
No solution
Y = -5
x = 8
(8, -5)