linear Flashcards

(56 cards)

1
Q

slope formula

A

y-y/x-x

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2
Q

rate of change is the same as

A

slope

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3
Q

gradient is the same as

A

slope

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4
Q

sybol of change

A

delta (triangle)

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5
Q

slope in a word problem is what….

A

happens over and over again

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6
Q

What word is generally in a word problem and tells us it is the slope

A

per

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7
Q

finding slope from a graph we count

A

rise over run

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8
Q

looking at a graph we know it is linear if it looks like what?

A

a straihght line

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9
Q

If we see a graph of a straight line we know it is what type of function?

A

linear

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10
Q

If we see a u shaped graph what type of function is it?

A

quadratic

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11
Q

If we see a v shaped graph what type of function is it?

A

absolute value

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12
Q

How do we know if points are going to create a linear function?

A

If they have a constant slope

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13
Q

How can we graph any equation if we don’t remember what form it is in?

A

Create an xy chart

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14
Q

If we make an xy chart, what do we do?

A

Pick x values and then plug in the points for x to get the y values. Plot the points and connect the line

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15
Q

What is point slope form

A

y-y1=m(x-x1)

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16
Q

What does m stand for in point slope form?

A

slope

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17
Q

What is the slope in y-7=3(x-4)

A

3

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18
Q

What is the slope in y-7=-2(x-4)

A

-2

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19
Q

What is the slope in y-7=5(x-4)

A

5

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20
Q

What is the slope in y-7=-0.3(x-4)

A

-0.3

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21
Q

What is the slope in y-7=10(x-4)

A

10

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22
Q

What is the starting point from the equation y-5=2(x+3)

A

(-3,5)

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23
Q

What is the starting point from the equation y+6=2(x+3)

24
Q

What is the starting point from the equation y-5=2(x-1)

25
What is the starting point from the equation y+6=2(x-1)
(1,-6)
26
What is the starting point from the equation y-8=2(x-3)
(3,8)
27
What is the starting point from the equation y+1=2(x-1)
(1,-1)
28
What is the starting point from the equation y-5=2(x-3)
(3,5)
29
What is the starting point from the equation y-8=2(x+7)
(-7,8)
30
To graph from point slope form, we plot the point and then
use the slope (rise over run)
31
What do parallel lines look like on a graph?
they will never cross
32
What do we know about the slopes of parallel lines?
they are the same
33
If we see two equations with the same slope what does that mean about the lines?
They are parallel
34
What do perpendicular lines look like on a graph?
they cross at 90 degrees
35
What do we know about the slopes of perpendicular lines?
They are negative reciprocals We flip the fraction and multipply by -1
36
If we see two equations with negative reciprocal slopes what does that mean about the lines?
they are perpendicular (they cross at 90 degrees)
37
What does negative reciprocal mean?
flip the fraction and multiply by -1
38
What is the negative reciprocal of -2/5
2-May
39
What is the negative reciprocal of 3
-0.333333333
40
What is the negative reciprocal of -2
2-Jan
41
What is the negative reciprocal of -1/5
5
42
What is the negative reciprocal of 5/8
-1.6
43
What is the equation of a vertical line?
x=#
44
If we see x=7 how would we graph that
a vertical line at 7
45
What is the equation of a horizontal line?
y=#
46
If we see y=7 how would we graph that
a horizontal line at 7
47
What is the slope of a horizontal line
0
48
What is the slope of a vertical line?
undefined
49
To find a y intercept, what do we do?
x=0 solve for y
50
How do we write a y intercept?
(0, )
51
To find an x intercept, what do we do?
y=0 solve for x
52
How do we write an x intercept?
( ,0)
53
What does a y intercept look like on a graph
the point the line crosses the y axis
54
What does an x intercept look like on a graph
the point the line crosses the x axis
55
If we see a line crossing the y axis what is that point?
y intercept
56
If we see a line crossing the x axis what is that point?
x intercept