Algebra 1 Unit 4

Question 1

What is rate of change?

Answer 1

A ratio that shows how one variable changes with respect to another

Question 2

How is slope written?

Answer 2

As a ratio of the vertical change (Rise) to the horizontal (Run) between any two points on a line

Question 3

Slope is the what for any two points on the same line?

Answer 3

It is the constant

Question 4

Slope should be written how?

Answer 4

As a fraction in simplest form

Question 5

What is the variable for slope?

Answer 5

M

Question 6

What are the four types of slope?

Answer 6

Positive, Negative, Zero, and Undefined

Question 7

The main formula for slope on a graph is …

Answer 7

M = Rise over Run

Question 8

The slope formula when given two points is …

Answer 8

M = y - y over x - x

Question 9

What is a linear equation?

Answer 9

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

Question 10

What are the three forms of a line?

Answer 10

slope-intercept, point-slope, standard

Question 11

What is the point slope form?

Answer 11

y-y = m (x-x)

Question 12

What is the slope intercept form?

Answer 12

y=mx+b

Question 13

What is the standard form?

Answer 13

Ax+By=C

Question 14

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

Answer 14

point slope

Question 15

y=mx+b what form?

Answer 15

slope intercept

Question 16

Ax+By=C What form?

Answer 16

standard

Question 17

Why is it called “point-slope” form?

Answer 17

it has a hidden point and a slope in it

Question 18

Why is it called “slope-intercept” form?

Answer 18

it has a slope and an intercept in it

Question 19

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

Answer 19

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 20

How do you find the points in Standard Form?

Answer 20

(0, __) and ( ,0).

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

Question 21

How do you find the slope in Standard Form?

Answer 21

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

Question 22

How can you find the y intercept in any form?

Answer 22

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

Question 23

How can you find the x intercept in any form?

Answer 23

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

Question 24

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

Answer 24

VERTICAL

Question 25

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

Answer 25

HORIZONTAL (like looking along the horizon)

Question 26

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

Answer 26

origin

Question 27

What does VERTICAL mean?

Answer 27

goes straight up and down

Question 28

What does HORIZONTAL mean?

Answer 28

goes from left to right

Question 29

What is the origin?

Answer 29

(0,0)

Question 30

What is the equation of the x axis?

Answer 30

y=0

Question 31

Wat is the equation of the y axis?

Answer 31

x=0

Question 32

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

Answer 32

use algebra to rearrange it

Question 33

what form? y = 4x - 3

Answer 33

slope intercept

Question 34

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

Answer 34

point slope

Question 35

what form? 4x-2y=7

Answer 35

standard

Question 36

Whst is the point at which the line intersects the x-axis?

Answer 36

The x-intercept

Question 37

Whst is the point at which the line intersects the y-axis?

Answer 37

The y-intercept

Question 38

To find the x-intercept, what must you do?

Answer 38

Set y equal to zero and solve for x

Question 39

To find the y-intercept, what must you do?

Answer 39

Set x equal to zero and solve for y

Question 40

What are parallel lines?

Answer 40

Two lines that never intersect

Question 41

What do paralell lines share in common?

Answer 41

They share the same slope

Question 42

What are perpendicular lines?

Answer 42

Two lines that intersect at a 90 degree angle

Question 43

How are peperndicular slopes linked?

Answer 43

They are negative (opposite) reciprocals

Question 44

What are negative reciprocals?

Answer 44

A fraction "flipped" and the signs are "switched"

Question 45

Whengiven a word problem, when do you use slope intercept form?

Answer 45

When given a rate of change (m) and a starting point (b)

Question 46

Whengiven a word problem, when do you use standard form?

Answer 46

When the problem relates two different objects

Question 47

Whengiven a word problem, when do you use point slope form?

Answer 47

When the problem gives a sample point (x,y) and rate of change (m).

Question 48

Whengiven a word problem, when do you use point point point form?

Answer 48

When the problem gives two sample points

Question 49

What is a Scatter Plot?

Answer 49

A graph that shows the relationship between two variables

Question 50

How many types of relationships can a scatterplot have?

Answer 50

3

Question 51

What are three correlations a scatterplot can have?

Answer 51

Positive, Negative, and None

Question 52

What does a scatterplot allow you to do?

Answer 52

Plot data to make a prediction