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