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Algebra 1 > Algebra 1 Unit 4 > Flashcards

Algebra 1 Unit 4 Flashcards

1
Q

What is rate of change?

A

A ratio that shows how one variable changes with respect to another

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2
Q

How is slope written?

A

As a ratio of the vertical change (Rise) to the horizontal (Run) between any two points on a line

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3
Q

Slope is the what for any two points on the same line?

A

It is the constant

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4
Q

Slope should be written how?

A

As a fraction in simplest form

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5
Q

What is the variable for slope?

A

M

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6
Q

What are the four types of slope?

A

Positive, Negative, Zero, and Undefined

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7
Q

The main formula for slope on a graph is …

A

M = Rise over Run

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8
Q

The slope formula when given two points is …

A

M = y - y over x - x

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9
Q

What is a linear equation?

A

It is a straight line (not a curve), and the x is not squared or cubed.

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10
Q

What are the three forms of a line?

A

slope-intercept, point-slope, standard

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11
Q

What is the point slope form?

A

y-y = m (x-x)

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12
Q

What is the slope intercept form?

A

y=mx+b

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13
Q

What is the standard form?

A

Ax+By=C

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14
Q

y-y=m(x-x) what form?

A

point slope

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15
Q

y=mx+b what form?

A

slope intercept

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16
Q

Ax+By=C What form?

A

standard

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17
Q

Why is it called “point-slope” form?

A

it has a hidden point and a slope in it

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18
Q

Why is it called “slope-intercept” form?

A

it has a slope and an intercept in it

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19
Q

How do you find the hidden point in point slope form? y-y=m(x-x)

A

to get your (x,y), take the opposite of the number next to the x to get your x, and take the opposite of the number next to the y to get your y

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20
Q

How do you find the points in Standard Form?

A

(0, __) and ( ,0).

use (0, ) to get the y intercept and (__,0) to get the x intercept.

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21
Q

How do you find the slope in Standard Form?

A

m = -A/B (opposite of A over B)

22
Q

How can you find the y intercept in any form?

A

You can always just plug a zero in for x and then solve for y. (0, __).

23
Q

How can you find the x intercept in any form?

A

You can always just plug a zero in for y and then solve for x. (__ ,0)

24
Q

what do you call something that goes straight up and down?

A

VERTICAL

25
Q

What dod you call something that goes from left to right?

A

HORIZONTAL (like looking along the horizon)

26
Q

What is the name of the point (0,0) ?

A

origin

27
Q

What does VERTICAL mean?

A

goes straight up and down

28
Q

What does HORIZONTAL mean?

A

goes from left to right

29
Q

What is the origin?

A

(0,0)

30
Q

What is the equation of the x axis?

A

y=0

31
Q

Wat is the equation of the y axis?

A

x=0

32
Q

What if a linear equation is not in one of the three forms? What can you do?

A

use algebra to rearrange it

33
Q

what form? y = 4x - 3

A

slope intercept

34
Q

what form? y - 3 = 2( x-8)

A

point slope

35
Q

what form? 4x-2y=7

A

standard

36
Q

Whst is the point at which the line intersects the x-axis?

A

The x-intercept

37
Q

Whst is the point at which the line intersects the y-axis?

A

The y-intercept

38
Q

To find the x-intercept, what must you do?

A

Set y equal to zero and solve for x

39
Q

To find the y-intercept, what must you do?

A

Set x equal to zero and solve for y

40
Q

What are parallel lines?

A

Two lines that never intersect

41
Q

What do paralell lines share in common?

A

They share the same slope

42
Q

What are perpendicular lines?

A

Two lines that intersect at a 90 degree angle

43
Q

How are peperndicular slopes linked?

A

They are negative (opposite) reciprocals

44
Q

What are negative reciprocals?

A

A fraction “flipped” and the signs are “switched”

45
Q

Whengiven a word problem, when do you use slope intercept form?

A

When given a rate of change (m) and a starting point (b)

46
Q

Whengiven a word problem, when do you use standard form?

A

When the problem relates two different objects

47
Q

Whengiven a word problem, when do you use point slope form?

A

When the problem gives a sample point (x,y) and rate of change (m).

48
Q

Whengiven a word problem, when do you use point point point form?

A

When the problem gives two sample points

49
Q

What is a Scatter Plot?

A

A graph that shows the relationship between two variables

50
Q

How many types of relationships can a scatterplot have?

A

3

51
Q

What are three correlations a scatterplot can have?

A

Positive, Negative, and None

52
Q

What does a scatterplot allow you to do?

A

Plot data to make a prediction

Algebra 1 (8 decks)

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