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algebra 1 > linear > Flashcards

linear Flashcards

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)

A

(-3,-6)

24
Q

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

A

(1,5)

25
Q

What is the starting point from the equation y+6=2(x-1)

A

(1,-6)

26
Q

What is the starting point from the equation y-8=2(x-3)

A

(3,8)

27
Q

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

A

(1,-1)

28
Q

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

A

(3,5)

29
Q

What is the starting point from the equation y-8=2(x+7)

A

(-7,8)

30
Q

To graph from point slope form, we plot the point and then

A

use the slope (rise over run)

31
Q

What do parallel lines look like on a graph?

A

they will never cross

32
Q

What do we know about the slopes of parallel lines?

A

they are the same

33
Q

If we see two equations with the same slope what does that mean about the lines?

A

They are parallel

34
Q

What do perpendicular lines look like on a graph?

A

they cross at 90 degrees

35
Q

What do we know about the slopes of perpendicular lines?

A

They are negative reciprocals We flip the fraction and multipply by -1

36
Q

If we see two equations with negative reciprocal slopes what does that mean about the lines?

A

they are perpendicular (they cross at 90 degrees)

37
Q

What does negative reciprocal mean?

A

flip the fraction and multiply by -1

38
Q

What is the negative reciprocal of -2/5

A

2-May

39
Q

What is the negative reciprocal of 3

A

-0.333333333

40
Q

What is the negative reciprocal of -2

A

2-Jan

41
Q

What is the negative reciprocal of -1/5

A

5

42
Q

What is the negative reciprocal of 5/8

A

-1.6

43
Q

What is the equation of a vertical line?

A

x=#

44
Q

If we see x=7 how would we graph that

A

a vertical line at 7

45
Q

What is the equation of a horizontal line?

A

y=#

46
Q

If we see y=7 how would we graph that

A

a horizontal line at 7

47
Q

What is the slope of a horizontal line

A

0

48
Q

What is the slope of a vertical line?

A

undefined

49
Q

To find a y intercept, what do we do?

A

x=0 solve for y

50
Q

How do we write a y intercept?

A

(0, )

51
Q

To find an x intercept, what do we do?

A

y=0 solve for x

52
Q

How do we write an x intercept?

A

( ,0)

53
Q

What does a y intercept look like on a graph

A

the point the line crosses the y axis

54
Q

What does an x intercept look like on a graph

A

the point the line crosses the x axis

55
Q

If we see a line crossing the y axis what is that point?

A

y intercept

56
Q

If we see a line crossing the x axis what is that point?

A

x intercept

algebra 1 (2 decks)

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