Chapter 3B

Question 1

What form is this called?

y+mx+b

Answer 1

Slop-intercept form

Question 2

Why is it called slope intercept form?

Answer 2

Because the slope and the Y intercept can be read directly from the equation.

Question 3

The ‘b’ and the Y equal in

y= mx+b

represents what value on the Cartesian coordinate sytem?

Answer 3

The value of the Y intercept.

Question 4

Slope intercept form is the most useful of all forms because the information that we can determine_______ at it

Answer 4

simply by looking

Question 5

The ‘b’ in
y= mx+b

represents the Y intercept because if you set x to 0
then…

Answer 5

then y = b

Question 6

What are the steps to graph a line by using the slope and y intercept?

Hint: S.I.C.C.

Answer 6

1. Write the equation in slope intercept form by solving for Y
2. Identify the Y intercept [graph the point (0,b)]
3. Identify the slope of the line. Use the geometric interpretation of slope (“rise over run”) to find anther point on the graph by counting from the y-intercept.
4. Join the two points with a line to obtain the graph.

Question 7

When graphing a line whose slope is a fraction, the fraction is already in rise/run form.

The numerator represents _______
and the denominator represents ________

Answer 7

Y value

X value

Question 8

When graphing a line whose slope is a whole number, the whole number isn’t in rise/run form until it is ________________________.

Answer 8

placed over denominator of one

Question 9

When graphing a line whose slope is a whole number, the slope can be written in different but equal forms. What are they?

Answer 9

A
_
-B

and

-A
_
B

Both of these are equivalent.

Question 10

How to write an equation with only a point and the slope.

Answer 10

Plug in the x and y values
Plug in the slope
Solve for b
Write equation in slope intercept form

Question 11

What form is this?

      y-y1 = M(x-x1)    [y1 & x1 are given]

     y-y1         m=   \_\_\_\_
     x-x1

[y1 & x1 are given]

Answer 11

Point-Slope-Form

Question 12

What is the second way to write an equation with only a point and the slope?

Answer 12

By using the Point-Slope-Form formula.

Question 13

How to use the point slope formula to write an equation with only a point and the slope.

Answer 13

1. Plug in the slope
2. Plug in the x & y points
3. Distribute (carefully)
4. Solve and until the final answer in slope intercept form.

Question 14

How do you write an equation with two points?

Answer 14

1. Plug both values into the point slope form.
2. Solve for the Slope
3. Pick ONE point and plug it into either point slope or slope intercept form.
4. Plug in the slope
5. Solve and write the final equation in slope intercept form.

Question 15

In order to write a standard linear equation in two variable where A<0 you simply have to ______

Answer 15

Multiply the each side of the equation by -1

Question 16

What type of linear equation am I ???

x=k

Answer 16

Vertical line

ex. x=3

Question 17

What type of linear equation am I ???

Ax+By= C

Answer 17

Standard form

ex. 3x-2y=12

Question 18

What type of linear equation am I ???

y-y1=m(x-x1)

     y-y1         m=   \_\_\_\_
     x-x1

Answer 18

Point-slope form

ex. y+3=3/2(x-2)

Question 19

What type of linear equation am I ???

y=mx+b

Answer 19

Slope-intercept form

ex.y=3/2x-6

Question 20

What type of linear equation am I ???

y=k

Answer 20

Horizontal line

ex. y=3

Question 21

Can a vertical line be written in slope intercept form?

Answer 21

No because vertical lines have NO SLOPE

Question 22

In an ordered pair the x & y are known as…

Answer 22

The components.

Question 23

Any set of ordered pairs is called a…

Answer 23

Relation

Question 24

The set of all first components of the ordered pairs is called..

Answer 24

A domain of the relation

Question 25

The set of all second components of the ordered pairs is called..

Answer 25

The range of relation.

Question 26

In the following relation what is the Domain?
…what is the Range?
(3,5),(3,6),(3,7),(3,8)

Answer 26

Domain (3)

Range(5,6,7,8)

Question 27

A set of ordered pairs in which each first component corresponds to exactly one second component.

Basically if the the first number appears more than once in a set of ordered pairs it is a Non-Function.

Answer 27

A function.

Question 28

Which two of the following three relations is a function?
Why?
(3,5),(3,6),(3,7),(3,8)

(9,5),(6,6),(2,7),(1,8)

(5,3),(6,3),(7,3),(8,3)

Answer 28

(9,5),(6,6),(2,7),(1,8)
&
(5,3),(6,3),(7,3),(8,3)

Because the first component (Domain Element ) corresponds to only one second component (range element).