DECKS 1&2 COMBINED Flashcards Preview

2020 BC BLOCK ALGEBRA 2 > DECKS 1&2 COMBINED > Flashcards

Flashcards in DECKS 1&2 COMBINED Deck (95)
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1

What is a solution to an equation?

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

2

How can you tell if the point (5, -3) is a solution to a linear equation?

If it "works." Sub 5 in for the X and -3 in for the Y. Simplify. If the statement is true, then it is a solution. If it is a solution, then it is on the line.

3

What are the slopes of the diagonals of a square?

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

4

What is the equation of the y axis?

x=0

5

Describe what the line y=x looks line

positive diagonal line from bottom left to upper right, slope of 1, through the origin

6

How can you think of the points on the line y=-x to help you graph it?

the x values are opposite the y values... so (2, -2) and (-2, 2) and (-107, 107).

7

What is the slope formula you use when trying to find the slope if you are given two points?

m = ( y - y ) / ( x - x )

8

What is the slope of a vertical line?

undefined

9

when you see " - y" or " - x" what can you think of?

opposite of y and opposite of x

10

Parallel lines have ______ slopes, or slopes

the same

11

y = 1/2 x - 8 what is the slope?

1/2

12

If a line as a slope of 2/3, then any line parallel to it will have a slope of ___ and any line perpendicular to it will have a slope of ___

parallel 2/3 and perp -3/2

13

y=mx+b what form?

slope intercept

14

what does a slope of zero look like?

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

15

If you are given two points and need to find the equation of a line, how do you do it?

First, fine the slope using m=(y-y)/(x-x), then use that slope and EITHER OF THE POINTS. Put it in point slope form.

16

what does a slope that is undefined look like?

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

17

What is the equation of the x axis?

y=0

18

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

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

19

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

rise/run... or change in y / change in x

20

The three forms of equations of a line we use are :

point-slope, slope-intercept, standard

21

what is the origin?

the point (0,0)

22

perpendicular lines have _____

opposite AND reciprocal slopes
(switch sign and flip the fraction)

23

What do you know about all Y intercepts?

(0,y) they have an x coordinate of ZERO

24

Why is it called "slope-intercept" form?

There is a slope and an intercept explicitly shown in the formula

25

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

-45 degrees downhill (traveling L to R)

26

How can you find the slope if it is in standard form?

Solve for y and change it into slope intercept form.

27

parallel lines have ______

the same slope

28

How can you find the x intercepts from an equation of a line?

Plug zero in for Y, and solve for X. The coordinates will be ( X, 0)

29

What is the "point slope" form?

y-y = m (x-x) (has a point and a slope in it)

30

How can you tell if the point (5, -3) is on a line if you are given the equation?

If it "works." Sub 5 in for the X and -3 in for the Y. Simplify. If the statement is true, then it is a solution. If it is a solution, then it is on the line.