quiz 1 graphing lines

Question 1

What is a linear equation?

Answer 1

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

Question 2

What are the three forms of a line?

Answer 2

slope-intercept, point-slope, standard

Question 3

What is the point slope form?

Answer 3

y-y = m (x-x)

Question 4

WHat is the slope intercept form?

Answer 4

y=mx+b

Question 5

What is the standard form?

Answer 5

Ax+By=C

Question 6

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

Answer 6

point slope

Question 7

y=mx+b what form?

Answer 7

slope intercept

Question 8

Ax+By=C What form?

Answer 8

standard

Question 9

Why is it called “point-slope” form?

Answer 9

it has a hidden point and a slope in it

Question 10

Why is it called “slope-intercept” form?

Answer 10

it has a slope and an intercept in it

Question 11

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

Answer 11

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

Question 12

How do you find the points in Standard Form?

Answer 12

(0, __) and ( ,0).

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

Question 13

How do you find the slope in Standard Form?

Answer 13

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

Question 14

What is a trick to identify the correct form?

Answer 14

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

Question 15

How can you find the y intercept in any form?

Answer 15

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

Question 16

How can you find the x intercept in any form?

Answer 16

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

Question 17

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

Answer 17

WALK x then CLIMB y

Question 18

What are the slopes of the diagonals of a square?

Answer 18

+1 and -1

Question 19

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

Answer 19

less steep

Question 20

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

Answer 20

steeper

Question 21

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

Answer 21

zero

Question 22

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

Answer 22

one

Question 23

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

Answer 23

zero

Question 24

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

Answer 24

undefined (straight up and down)

Question 25

What does VERTICAL mean?

Answer 25

goes straight up and down

Question 26

What does HORIZONTAL mean?

Answer 26

goes from left to right

Question 27

what do you call something that goes straight up and down?

Answer 27

VERTICAL

Question 28

What dod you call something that goes from left to right?

Answer 28

HORIZONTAL (like looking along the horizon)

Question 29

If a line has a y intercept of 9, then the point _____ is on the line.

Answer 29

(0,9)

Question 30

If a line has an x intercept of 9, then the point _____ is on the line.

Answer 30

(9,0)

Question 31

the equation for the slope of the line is

Answer 31

m = y-y / x-x

Question 32

People think of the slope as _____ over _____

Answer 32

RISE, RUN

Question 33

What is the origin?

Answer 33

(0,0)

Question 34

What is the name of the point (0,0) ?

Answer 34

origin

Question 35

WHat does the line y=0 look like?

Answer 35

it is the x axis (all of the points on the x axis have a y value of Zero

Question 36

What does the line x=0 look like?

Answer 36

it is the y axis (all of the points on the y axis have an x value of ZERO)

Question 37

What does the line y=x look like?

Answer 37

perfect positive diagonal through origin (0,0)

Question 38

What does the line y= -x look like?

Answer 38

perfect negative diagonal through origin

Question 39

What is the equation of the x axis?

Answer 39

y=0

Question 40

Wat is the equation of the y axis?

Answer 40

x=0

Question 41

What is the equation of a perfect positive diagonal going through the origin?

Answer 41

y=x

Question 42

WHat is the equation of a perfect negative diagonal going through the origin?

Answer 42

y=-x

Question 43

What does the line y=4 look like?

Answer 43

horizontal (L to R) line through (0,4). up 4.

Question 44

What does the line x=4 look like?

Answer 44

vertical (up and down) line through (4,0), to the right 4.

Question 45

What does the line y = 1/2 x look like?

Answer 45

through origin (0,0) with slope of 1/2

Question 46

Why are the A, B and C capital letters in Ax+By=C?

Answer 46

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

Question 47

What if a linear equation is not in one of the three forms? What can you do?

Answer 47

use algebra to rearrange it

Question 48

How can you think about the line x=5 to remember what it looks like?

Answer 48

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

Question 49

How can you think about the line y=8 to remember what it looks like?

Answer 49

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

Question 50

what form? y = 4x - 3

Answer 50

slope intercept

Question 51

what form? y - 3 = 2( x-8)

Answer 51

point slope

Question 52

what form? 4x-2y=7

Answer 52

standard