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MONOMOY ALG 1 > quiz 1 graphing lines > Flashcards

quiz 1 graphing lines Flashcards

1
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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2
Q

What are the three forms of a line?

A

slope-intercept, point-slope, standard

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3
Q

What is the point slope form?

A

y-y = m (x-x)

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4
Q

WHat is the slope intercept form?

A

y=mx+b

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5
Q

What is the standard form?

A

Ax+By=C

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6
Q

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

A

point slope

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7
Q

y=mx+b what form?

A

slope intercept

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8
Q

Ax+By=C What form?

A

standard

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9
Q

Why is it called “point-slope” form?

A

it has a hidden point and a slope in it

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10
Q

Why is it called “slope-intercept” form?

A

it has a slope and an intercept in it

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11
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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12
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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13
Q

How do you find the slope in Standard Form?

A

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

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14
Q

What is a trick to identify the correct form?

A

Look at the equal sign. What is to the left?
just a y ? then slope intercept
a y + or - something? then point slope
an X and a Y? then standard

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15
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, __).

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16
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)

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17
Q

What is a way to remember how to plot points like (-2,4) or (7, 8)

A

WALK x then CLIMB y

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18
Q

What are the slopes of the diagonals of a square?

A

+1 and -1

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19
Q

A slope of 2/3 is (steeper/less steep) than one.

A

less steep

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20
Q

A slope of -5/2 is (steeper/less steep) than negative one.

A

steeper

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21
Q

A slope of 1/10 is closer to (zero or one)

A

zero

22
Q

A slope of 7/8 is closer to (zero or one)

A

one

23
Q

A slope of 0.0001 is closer to (zero or one)

A

zero

24
Q

A slope of 5 is closer to (one or undefined)

A

undefined (straight up and down)

25
Q

What does VERTICAL mean?

A

goes straight up and down

26
Q

What does HORIZONTAL mean?

A

goes from left to right

27
Q

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

A

VERTICAL

28
Q

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

A

HORIZONTAL (like looking along the horizon)

29
Q

If a line has a y intercept of 9, then the point _____ is on the line.

A

(0,9)

30
Q

If a line has an x intercept of 9, then the point _____ is on the line.

A

(9,0)

31
Q

the equation for the slope of the line is

A

m = y-y / x-x

32
Q

People think of the slope as _____ over _____

A

RISE, RUN

33
Q

What is the origin?

A

(0,0)

34
Q

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

A

origin

35
Q

WHat does the line y=0 look like?

A

it is the x axis (all of the points on the x axis have a y value of Zero

36
Q

What does the line x=0 look like?

A

it is the y axis (all of the points on the y axis have an x value of ZERO)

37
Q

What does the line y=x look like?

A

perfect positive diagonal through origin (0,0)

38
Q

What does the line y= -x look like?

A

perfect negative diagonal through origin

39
Q

What is the equation of the x axis?

A

y=0

40
Q

Wat is the equation of the y axis?

A

x=0

41
Q

What is the equation of a perfect positive diagonal going through the origin?

A

y=x

42
Q

WHat is the equation of a perfect negative diagonal going through the origin?

A

y=-x

43
Q

What does the line y=4 look like?

A

horizontal (L to R) line through (0,4). up 4.

44
Q

What does the line x=4 look like?

A

vertical (up and down) line through (4,0), to the right 4.

45
Q

What does the line y = 1/2 x look like?

A

through origin (0,0) with slope of 1/2

46
Q

Why are the A, B and C capital letters in Ax+By=C?

A

They have to be INTEGERS (whole numbers). This means that you won’t see 1/2x + 4/5y = 1/3. The A and B and C have to be integers like 4x-2y=9

47
Q

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

A

use algebra to rearrange it

48
Q

How can you think about the line x=5 to remember what it looks like?

A

It is all of the points that have an x value of five… so (5, 0), (5, 1), (5, 2), (5, 3), etc… straight up and down

49
Q

How can you think about the line y=8 to remember what it looks like?

A

It is all of the points that have a y value of eight. So (0,8), (1,8), (2,8) ,(3,8), (4,8), (5,8)… All have a height of 8. Horizontal line up 8

50
Q

what form? y = 4x - 3

A

slope intercept

51
Q

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

A

point slope

52
Q

what form? 4x-2y=7

A

standard

MONOMOY ALG 1 (1 decks)

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