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MONOMOY ALG 2 > Graphing Linear Equations (all three forms) > Flashcards

Graphing Linear Equations (all three forms) 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, __) 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

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22
Q

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

A

one

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23
Q

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

A

zero

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24
Q

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

A

undefined (straight up and down)

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25
If a line has a y intercept of 9, then the point _____ is on the line.
(0,9)
26
If a line has an x intercept of 9, then the point _____ is on the line.
(9,0)
27
If you are given two points, the equation for the slope of the line is
m = y-y / x-x
28
People think of the slope as _____ over _____
RISE, RUN
29
what form? y = 4x - 3
slope intercept
30
what form? y - 3 = 2( x-8)
point slope
31
what form? 4x-2y=7
standard
32
What is the origin?
(0,0)
33
What is the name of the point (0,0) ?
origin
34
Name the FORM, name a POINT and name the SLOPE: y = 2/3 x - 5
form: SLOPE INTERCEPT point: (0,-5) slope: 2/3
35
Name the FORM, name a POINT and name the SLOPE: 5x + 4y = 40
form: STANDARD, point: (0,10)or(8,0), slope: -5/4
36
Name the FORM, name a POINT and name the SLOPE: y-7 = 1/2 (x+8)
form: POINT SLOPE, point: (-8,7) slope: 1/2
37
Name the FORM, name a POINT and name the SLOPE: y = 3x
special form (through origin), or change to y=3x+0 form: SLOPE INTERCEPT (ZERO INTERCEPT). point: (0,0) slope: 3
38
Name the FORM, name a POINT and name the SLOPE: y = 7
special forms (horizontal), or change to y=0x+7, form: SLOPE INTERCEPT (ZERO SLOPE), point: (0,7) slope: zero
39
Name the FORM, name a POINT and name the SLOPE: x = 9
form: special form. vertical line. point: 9,0), slope: undefined
40
Name the FORM, name a POINT and name the SLOPE: y-5 = 4(x -6)
form: POINT SLOPE point: (6,5) slope: 4
41
Name the FORM, name a POINT and name the SLOPE: 5x - 5y = -10
fprm: STANDARD, point: (0,2) or (-2,0), slope of 1
42
Name the FORM, name a POINT and name the SLOPE: y = 3x + 2
form: SLOPE INTERCEPT, point: (0,2), slope: 3
43
Name the FORM, name a POINT and name the SLOPE: y = Hx - G
form: SLOPE INTERCEPT, point: (0, -G), slope: H
44
Name the FORM, name a POINT and name the SLOPE: y - M = Z (x + T)
form: POINT SLOPE, point: (-T, M), slope: Z
45
Name the FORM, name a POINT and name the SLOPE: Px + Ry = H
form: STANDARD, point: (0, H/R) or (H/P, 0), slope: -P/R
46
Name the FORM, name a POINT and name the SLOPE: y = W
special form, horizontal, or change to y=0x+w, form: POINT SLOPE (ZERO SLOPE), point: (0,W), slope: zero
47
Name the FORM, name a POINT and name the SLOPE: x = B
form: special form, vertical line, point: (B,0), slope: undefined
48
Name the FORM, name a POINT and name the SLOPE: y = Qx
special form, or change to y=Qx+0, form: slope intercept, the intercept is zero. Point (0,0), SLOPE (Q)
49
WHat does the line y=0 look like?
it is the x axis
50
What does the line x=0 look like?
it is the y axis
51
What does the line y=x look like?
perfect positive diagonal through origin (0,0)
52
What does the line y= -x look like?
perfect negative diagonal through origin
53
What is the equation of the x axis?
y=0
54
Wat is the equation of the y axis?
x=0
55
What is the equation of a perfect positive diagonal going through tjhe origin?
y=x
56
WHat is the equation of a perfect negative diagonal going through the origin?
y=-x
57
What does the line y=4 look like?
horizontal (L to R) line through (0,4). up 4.
58
What does the line x=4 look like?
vertical (up and down) line through (4,0), to the right 4.
59
What does the line y = 1/2 x look like?
through origin (0,0) with slope of 1/2
60
Why are the A, B and C capital letters in Ax+By=C?
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
61
What if a linear equation is not in one of the three forms?
use algebra to rearrange it
62
How can you think of the line x=5 to remember what it looks like?
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
63
How can you think about the line y=8 to remember what it looks like?
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
64
How can you think of the points on the line y=x to remember what it looks like?
It is all of the points whose x and y are the same. (4,4), (10,10), (-5,-5), etc..

MONOMOY ALG 2 (1 decks)

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