| Slope | Fractions | Line Equations |
|---|---|---|
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Slope is defined as rise over...
What is "run"?
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Add: (1/4) + (2/4)
What is "3/4"? Or 0.75
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Ms. B needs to buy a lot of tennis balls for her new puppy to chase. Tennis balls are $2 each. Make a table. How much would it cost to buy 2 tennis balls? 3? 4? 5?
Display table on board
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Given two points on a line (x1, y1) and (x2, y2), how would you find the slope?
What is "(y2 - y1) / (x2 - x1)"?
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Add: (1/3) + (3/5)
What is "14/15"? Or 0.9333333
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A new student at Veritas wants to have 2 VPH uniform shirts for every pair of pants. "S" represents the number of shirts they have and "p" represents the number of pants. Write an equation to describe this situation.
2s = p
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A line passes through the points (1, 4) and (3, 7). What is the slope?
What is "3/2"? (Or 1.5)
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Multiply: (2/3) * (4/5)
What is "8/15"? Or 0.53333
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What is the y-intercept? Explain or show an example.
y-intercept is the y-value of the point where the line crosses the y-axis.
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A line passes through the points (5, 6) and (7, 8). Is the point (10, 12) on the line? Why/why not?
What is "no"? The slope of the line is 2/2, or 1. For every 1 unit the line rises, the line moves 1 unit over. Any point on the line would have to fit the pattern (x, x+1), but 12 is 2 more than 10.
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Divide: (7/9) / (2/3)
What is "7/6" or 1.16667?
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What does the formula y = mx + b mean? Please explain EVERY part of the formula (hint: check the anchor chart...)
y = y-value of a point on the line
m = slope x = x-value of a point on the line b = y-intercept |
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A line has slope 7/8 and passes through the point (1, 3). Name another point on the line.
Depends. Example: what is (9, 10)? You always need to add some multiple of 7 (rise) to the y-value given (3) and some multiple of 8 (run) to x-value given (1).
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Divide: (2 8/11) / (1 2/3)
What is "18/11"? Or 1 and 7/11. Or 90/55. Or 1.636363
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Takis are on sale - buy 1, get 1 free! If a bag of Takis is usually $1.50 each, write an equation to describe the cost for any number of bags where c = total cost in dollars and t = # of PAIRS of Takis bags.
With this deal, you can get 2 bags of Takis for $1.50. So, the unit rate is actually $1.50 per PAIR of Takis. You can write that equation as c = 1.50t, because if you buy, for example, 2 pairs of Taki bags (4 bags), that's $3 ($3 = 1.50 * 2 pairs).
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