Graphing Linear Equations (all three forms) Flashcards Preview

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Flashcards in Graphing Linear Equations (all three forms) Deck (65)
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1

What is a linear equation?

It is a straight line (not a curve), and the x is not squared or cubed.

2

What are the three forms of a line?

slope-intercept, point-slope, standard

3

What is the point slope form?

y-y = m (x-x)

4

WHat is the slope intercept form?

y=mx+b

5

What is the standard form?

Ax+By=C

6

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

point slope

7

y=mx+b what form?

slope intercept

8

Ax+By=C What form?

standard

9

Why is it called "point-slope" form?

it has a hidden point and a slope in it

10

Why is it called "slope-intercept" form?

it has a slope and an intercept in it

11

How do you find the hidden point in point slope form? y-y=m(x-x)

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

12

How do you find the points in Standard Form?

(0, __) to get the y intercept and (__,0) to get the x intercept.

13

How do you find the slope in Standard Form?

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

14

What is a trick to identify the correct form?

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

15

How can you find the y intercept in any form?

You can always just plug a zero in for x and then solve for y. (0, __).

16

How can you find the x intercept in any form?

You can always just plug a zero in for y and then solve for x. (__ ,0)

17

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

WALK x then CLIMB y

18

What are the slopes of the diagonals of a square?

+1 and -1

19

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

less steep

20

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

steeper

21

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

zero

22

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

one

23

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

zero

24

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

undefined (straight up and down)

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