Slope Knowledge Variation Equations Real World Problems Random
100
How to find a slope ?
Using a graph, an equation, a table or two coordinate pairs.
100
What is rise over run?
Rise goes in a vertical direction and run is horizontal direction.
100
Y-intercept / B = 258
You decide to sell all of your old things you don't use anymore. You started with 258 things, you sell 4 things each week. What is the Y-intercept ?
100
Negative slope
If an Olympic skiier is going down a hill at 22 mph. what type of slope are they on ?
100
About 700 lbs. or 317 kilo's
How much wood could a woodchuck chuck if a woodchuck could chuck wood in lbs.?
200
What is a slope ?
Slope is a measure of the steepness of a line.
200
How to find a slope using a graph ?
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
200
How to find a slope using an equation ?
Use inverse operations to solve for y so that it is written as y=mx+b. Then you can easily see the slope since it is the coefficient of the x variable, or the number in front of x.
200
A parabola
A skateboarder is riding a half pipe ( U shaped ramp). What type of slope is that called ?
200
Ms. Kwelty, obviously. If you said Mrs. Bissic, well, stop the cap.
Ms. Kwelty or Mrs. Bissic
Who is the nicest math teacher ?
300
True or false: Can a slope be expressed on a vertical line ?
False; A vertical line is undefined meaning the slope would have infinite size.
300
What are the four types of slopes ?
Positive, Negative, Zero, and Undefined
300
y=mx+b
Slope Intercept Form
300
A zero slope
what type of slopes do highways have ?
300
It stands for Day. (DUH goofy)
What does the D in D-Day stand for ?
400
What is the definition of Rise over Run ?
A mnemonic for remembering that the slope of a non-vertical line is the ratio of the amount it rises over some interval, over the length of that interval.
400
y = 2x + 8
John grows at a rate of two inches per year. He started the year at 47 inches tall.
400
How to find a slope using a table ?
Identify the change in each consecutive pair of y-values and x-values on the table. Write ratios for each change, then simplify.
400
y = 2x + 15
A bobsledder is going down a negative incline at 112 mph. They gain 2 more mph. every five seconds.
They started at 15 mph. What is the equation (y=mx+b) ?
400
How to find a slope with two coordinate pairs ?
Choose two coordinates to be (x1, y1), and (x2, y2). Use the rise/run solution, then simplify.
500
Ans. (-1)
Consider a line crosses the y axis at 10 and upon which point (6"4) lies. What is the slope of this line ?
500
What is a Parabola ?
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
500
Non-linear
Is 2y =- 3x 6 linear or nonlinear
500
Y-intercept = 97 ft.
A man is about to flip off of a 10 story building. The building is approximately 97 ft. tall. The man is standing at a ∠45.27 angle. He is going to fall at about 37.238 mph. off the building. What is the Y-intercept of the building ?
500
5cosA +12sinA + 12 = 13(5/13 cosA +12/13sinA) + 12
Find the minimum value of 5cosA + 12sinA + 12






Slopes

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