Solving Equations
Variable on Both
How many Solutions?
Inequality
Slope
100
2x=8
4
100
4x-3=3x+2
5
100
4(2x) = 8x
Infinite Solutions
100
x + 3 > 2
x>-1
100
m
slope
200
x-8=15
23
200
15 - x = 4x
3
200
(x, y)
One Solution
200
7x < 28
x < 4
200
Slope
rise over run
300
-x+1=5
-4
300
5x = 6 + 2x
2
300
-1=0
No Solution
300
2y + 1 ≤ 7
y ≤ 3
300
Slope Formula
(y2-y1) over (x2-x1)
400
x+8=9
1
400
5y - 3 = 3y + 5
4
400
y=2x+2
y=2x-3
No Solution
400
2y+7 < 12
y< 5/2
400
Slope Intercept Form
y=mx+b
500
4x+3=11
2
500
- 16 = - 4
144
500
Y=2x
Y=2x
Infinite Solutions
500
12 < -2x + 6
-3>x
500
When slope is a -2
Negative Slope/ Line goes Down