Unit 3 Flashcards

1
Q

What is Slope?

A

The Rate of change (scale factor, unit rate)

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2
Q

How do you find slope (hint: the sure way to never get it wrong)

A

Change in y. y-y
—————. —— (Use coordinate pairs)
Change in x. x-x

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3
Q

What are the four types of slope and how do you identify them?

A
Positive slope:
Increases from left to right
Negative slope:
Decreases from right to left
Zero slope:
Horizontal line (function)
Undefined slope:
Vertical line (not a function)
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4
Q

How do you dilate two similar triangles? (What is the equation and how do you solve?)

A

X,y——-> (SFx, SFy)

You multiply the original coordinate pairs by the scale factor, or slope.

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5
Q

what is a unit rate?

A

A rate simplified, so its a whole number. EX: (r) 110/2 (ur) 55/1

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6
Q

What is the equation for a unit rate?

A

Y=mx

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7
Q

If a graph has a line through the origin is it P or NON P

A

Proportional

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8
Q

What is the equation for a proportional relationship

A

Y=mx

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9
Q

What does a table look like with proportional relationships?

A

A constant ration (6,12,18)

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10
Q

Do these words apply to P or NON P realtionships:

Per, each, for every

A

Proportional

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11
Q

Do you add and subtract in P or NON P relationships

A

Non proportional; you multiply and divide for proportional relationships
(y over x)

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12
Q

What is the equation for non proportional relationships?

A

Y= Mx+b

The b, or y intercept throws the proportion off

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13
Q

What is a function?

A

A relationship where every input has one output

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14
Q

How can you tell if a graph is a function?

A

If it passes the vertical line test (one point on each line)

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15
Q

What’s the most important thing to remember about functions?

A

X CANT REPEATTTTTTT!!!!!

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16
Q

How do you know if a problem involves direct variation?

A

It should say varies directly

17
Q

How do you solve for direct variation?

A

You take the two values the vary directly and make a proportion, then you cross multiply and divide on both sides. EX:
4/80=50/x. 4x=50x80 4x/4=400/4. X=100