Sr. Mary Rebekah 1

NAME:

Today we will pre-review Chapter 4 concepts... Guided Notes... 4-1 Basics of functions, what is a function, patterns, y=mx+b 4-2 Writing equations in slope intercept form 4-3 Writing equations in Point-Slope Form (and how to solve equations for a variable in terms of other variables)

3 3

3

3

3

3

3

3

3

3

3

3 3

3

3

3

3

Number of Triangles

Perimeter of Shape

Number of Triangles

Number of Circles

3

Number of Toothpicks

Number of Triangles

NA

ME:

Sr. Mary Rebekah 3

Slope-Intercept

Form

y = mx + b

A formula for

the equation of a _________ using it’s

SLOPE and it’s

_____________.

The SLOPE is The y-intercept is

Steps for graphing

Start by placing a point on the

From that point, count out the to find the

next point.

the two points to form a line.

Try it for 𝑦 = −2

3𝑥 + 1

and for 𝑦 = 2𝑥 − 6

NAME:

Today we will: Write and graph linear equations in slope-intercept form. Model real world data with equations in slope-intercept form

Sr. Mary Rebekah 4

Write and Graph an Equation: 1. Solve for y, if needed, and put the equation

in slope intercept form, y= mx + b, where m is the defined slope and b is the y-intercept.

2. The slope is 𝑟𝑖𝑠𝑒

𝑟𝑢𝑛 so move from the y-

intercept up the rise and over the run. 3. Draw a line between the two points.

Graph 3x + 2 y = 6.

Graph -3x + 7 y = 21.

Sr. Mary Rebekah 5

Practice

Today we will: Use a graphing calculator to investigate families of linear functions Recognize and express the effect of changing constants and/or coefficients in problem solving.

NAME:

Today we will: Write linear equations in slope-intercept form. Model real world data with equations in slope-intercept form

Sr. Mary Rebekah 6

What do I need to write an equation in

slope-intercept form?

Slope and a Point

Tw

o P

oint

s

Slo

pe a

nd

y-I

nt

erce

pt

The Graph

Practice

Sr. Mary Rebekah 7

4. (8,2); slope −3

4

5. (-1, -3); slope 5

6. (4, -5); slope −1

2

7. (-3, 0); slope 0

8. (2, 2); slope 1

2

9. (1, -4); slope -6 10. (-3, 0); m= 2 11. (0, 4); m= -3

12. (0, 350), m=1

5

13. (16, -1), m= -1

NAME:

Today we will: Write and graph linear equations in point-slope form. Write Equations in different forms.

Sr. Mary Rebekah 8

Steps for graphing

Start by plotting the given

From that point, count out the to find the

next point.

the two points to form a line.

A formula for

the equation of a _________ using it’s

SLOPE and ONE

_____________.

NAME:

Today we will: Write and graph linear equations in point-slope form. Write equations in different forms.

Sr. Mary Rebekah 9

Plug in zero for y and solve for x. This is the

Plug in zero for x and solve for y. This is the

the two points and connect them to form a line.

Steps for graphing

Try it for 3x-4y=12

Try it again for 2x+y=-4.

Sr. Mary Rebekah 10

Point Slope Form

Y-intercept Form

Standard Form

y – y1 = m (x – x1 )

y = mx + b

Practice

Sr. Mary Rebekah 11

NAME:

Today we will: Write an equation of the line that passes through a given point, parallel to a given line… and perpendicular to a given line.

Sr. Mary Rebekah 12

Parallel Lines have the

SLOPE.

Perpendicular Lines have the

SLOPE.

Sr. Mary Rebekah 13

Sr. Mary Rebekah 14

Practice

Sr. Mary Rebekah 15

4.

5.

6. 7. 8.

NAME:

Today we will: Investigate relationships between quantities by using points on scatter plots. Use a graphing calculator to determine the linear regression line through certain given data.

Sr. Mary Rebekah 16

NAME:

Today we will: Investigate relationships between quantities by using points on scatter plots. Use a graphing calculator to determine the linear regression line through certain given data.

Sr. Mary Rebekah 17

How to create a linear regression line from

data entered into your calculator:

1) Turn on Diagnostics

a) 2nd 0 (Catalog)

b) Scroll down to DioganosticsOn

c) Enter

2) Enter your independent variable data into L1 and your

dependent variable data into L2.

a. STAT

b. Edit L1 and L2 3) Graph the Scatter Plot

a) 2nd Y= (STAT PLOT)

b) Select Plot 1

c) Turn it ON

d) Be sure it is set to L1 and L2 e) ZOOM

f) 9:ZoomStat

4) Create a Linear Regression Line/Equation from this data

a) STAT

b) CALC

c) 4:LinReg (ax+b)

d) Be sure set to correct lists: L1 and L2 e) Store into Y1

1) VARS

2) Y-VARS

3) 1:Function

4) 1:Y1 f) ENTER

g) GRAPH

5) Find/predict values

1) 2nd

2) TRACE (CALC)

3) 1:value

4) Choose the value you want for x

5) Enter

Sr. Mary Rebekah 18

Sr. Mary Rebekah 19

NAME:

Today we will: Identify and graph absolute value functions.

Sr. Mary Rebekah 20

f(x) = | x | To graph absolute

value functions on

your TI-84:

Y=

MATH

NUM

1: abs (

The enter your function. You may

have to adjust your “window” in

order to see the graph.

-4

-2

-1

0

1

2

4

𝑓 𝑥 = 𝑥 𝑥

x 𝒇 𝒙 = 𝒙 − 𝟐

0 2

Domain X: Range Y: V

erte

x