Finding Slope from Two Points
Writing a Linear Line from a Point and a Slope
Convert the Standard Equation into Slope-Intercept Form
Solve the System of Equations
Miscellaneous
100
(3, 5) and (4, 10)
m = 5
100
Slope: 2 Point: (5, 9)
y=2x-1
100
3x-2y=-16
y=3/2x+8
100
When solving for systems of equations, your answer needs to be in a what?
Coordinate Pair/Ordered Pair/Point
100
Fun Fact: These gravity defying means of transportation have airport runways look perfectly flat, but they actually have a slight slope (usually under 2%) to allow rainwater to drain off. If it is too steep, airplanes have trouble stopping or taking off safely.
What is an Airplane?
200
(4, 12) and (7, -6)
m = -6
200
Slope: -7 Point: (2, -4)
y=-7x+10
200
4x-y=1
y=4x-1
200
What is the solution to the system of equations?
(1, 3)
200
Fun Fact: In snowy regions, houses are built with these things that have steep slopes (high pitch) so heavy snow slides off naturally. In desert regions, ______are flat (zero slope) because shedding snow isn't a concern, and flat ______ are cheaper to build.
What are roofs?
300
(17, 3) and (20, 3)
m = 0
300
Slope:
1/4
Point: (8, 9)
y=1/4x+7
300
11x − 4y = 32
y=11/4x-8
300
What is the solution to this system of equations?
(2, -1)
300
Fun Fact: This theme park used to have a very steep slope ride called Splash Mountain in which you were in a log canoe and splashing into water. It is now replaced with Tiana's Bayou Adventure.
What is Disney World?
400
(19, -2) and (-11, 10)
m=-2/5
400
Slope:
-3/5
Point: (10, -3)
y=-3/5x+3
400
3x-2y=-16
y=-6/5x-3
400
Solve the systems of equations by graphing:
Solution:
(2,2)
400
Fun Fact: Many Conspiracy Theorists often claim aliens to have built these based on their slope defying lines. Though nobody can really know what the Egyptians were on back then.
What are Pyramids?
500
(14, -13) and (14, 23)
Undefined
500
Slope:
-2/7
Point: (14, 15)
y=-2/7x+19
500
10x-12y=-4
y=5/6x+1/3
500
Graph and Solve the Following System of Equations:
-2x+3y=-18
2x+y=2
Solution:
(3,-4)
500
Fun Fact: When you pour this sweet additive into a pile, they naturally form a cone with a very specific, maximum slope. This is called the "angle of repose." If you try to make the slope steeper, the grains will just slide back down.
What is Sugar?