# DECK 1: Introduction to the Cartesian Plane and Linear Ideas Flashcards Preview

## 2021 ALGEBRA 2 CONCEPTS AND VOCABULARY > DECK 1: Introduction to the Cartesian Plane and Linear Ideas > Flashcards

Flashcards in DECK 1: Introduction to the Cartesian Plane and Linear Ideas Deck (38)
1
Q

What is the slope of a line?

A

it is the steepness

2
Q

How do a lot of people think about the slope (the slope)?

A

rise/run

or

change in y / change in x

3
Q

what is the cartesian plane?

A

it is the thing we plot points on with the x y axis.. named after RENE DESCARTES, french philosopher and mathematician.

4
Q

If you draw a square with the diagonals as an X, what is the slope of the diagonal that goes from bottom left to upper right corner?

A

1

5
Q

If you draw a square with the diagonals as an X, what is the slope of the diagonal that goes from top left to the bottom right corner?

A

-1

6
Q

If a slope of zero is 0 degrees, what is a slope of 1?

A

45 degrees uphill, a perfect diagonal

7
Q

if a slope of zero is 0 degrees, what is a slope of -1?

A

45 degrees downhill (or -45 degrees)

8
Q

What does “horizontal” mean?

A

left to right, like looking across the horizon

9
Q

What does “vertical? mean?

A

up and down, like vertical columns holding up a building

10
Q

What is a solution to an equation?

A

A solution is the set of values that makes an equation TRUE.

11
Q

What does it mean to “satisfy” an equation?

A

It means you made the equation true. Solutions satisfy equations.

12
Q

What are the slopes of the diagonals of a square?

A

+1 going up L to R, and -1 going down from L to ROW

13
Q

How can you think of a slope of 1 or -1?

A

If you draw a square, think of the diagonals.. 45 degrees!

14
Q

What is an interesting fact about slopes between -1 and +1?

A

HALF OF ALL POSSIBLE SLOPES ARE BETWEEN -1 and +1

15
Q

What is the slope of a flat horizontal surface?

A

ZERO

16
Q

What is the slope of a horizontal line?

A

ZERO

17
Q

What is the slope of a vertical line?

A

undefined

18
Q

what is the slope of a line that goes straight up and down?

A

undefined

19
Q

the number 0/5 is equal to :

A

zero. 0

20
Q

the number 5/0 is equal to :

A

undefined

21
Q

Why can’t you divide by zero? (why can zero be in the top and not the bottom?)

A

10/2 asks “how many times do you add 2 to itself to get to 10?” the answer is 5.

10/0 asks “how many times do you add 0 to itself to get to 10?” the answer is there is no answer. undefined

22
Q

What is the x intercept of a line? (what are the coordinates?)

A

Where the line crosses the horizontal axis, the x axis. The coordinates are ( X, 0 )

23
Q

What is the y intercept of a line? (what are the coordinates?)

A

Where the line crosses the vertical axis, the y axis. The coordinates are ( 0, Y )

24
Q

what are the coordinates of a point?

A

(x,y), the x and y value.

25
Q

What is the y coordinate for all x-intercepts?

A

zero. (x, 0), all x intercepts have a height of zero because they are on the x axis.

26
Q

What is the x coordinate for all y-intercepts?

A

zero.(0, y) all y intercepts are in the middle, not left or right, because they are on the y axis.

27
Q

what does the x coordinate tell you?

A

how far you go left (-) or right (+)

28
Q

what does the y coordinate tell you?

A

how far you go up (+) or down (-)

29
Q

How can you always get rid of fractions in any equation?

A

Multiply every term by the LCD (plop the LCD in the numerators, then simplify)

30
Q

What is a solution to an equation?

A

the values that make the equation TRUE

31
Q

If an x intercept is 455, what point is on the line?

A

(455, 0)

32
Q

If a y intercept is 990, what point is on the line?

A

(0, 990)

33
Q

what does a slope of zero look like?

A

horizontal, flat from left to right. The x axis has a slope of zero.

34
Q

what does a slope that is undefined look like?

A

vertical, straight up and down. The y axis has a slope of zero.

35
Q

what is the origin?

A

the point (0,0)

36
Q

what is an undefined slope look like?

A

up and down (vert)

37
Q

what does a zero slope look like?

A

left to right (horiz)

38
Q

what is the point (0,0) called?

A

the origin