1

2

Warm-Up

1. A 66 ft. board is cut into three pieces. The second piece is

1.5 times longer than the first. The third piece is three

times as long as the first. How long is each piece?

4. Solve and graph the following: -5< x - 4 <2

Class Notes & Practice Problems Section of Notebook

Standard Form of a linear equation: Ax + By = C

A, B, & C are all constants and..

a.) A and B are not both zero.

b.) The largest exponent is not greater than 1

Change to Standard Form:4y + 2 = 6x

5

Graphs of y = bWhere b is any number

y = b are always horizontal lines,

and are functions

Graphs of x = aWhere a is any number

x = a are always vertical lines, and

are not functions

6

Graphs of y = mxy = "a number times x"

y = mx lines will always go through

the origin, and will be at the angle

shown.

Graphs of y = mx + cy = "a number times x plus c"

y = mx + c are similar in shape to y = mx,

but do not go through the origin.

7

Defining Linear Equations

HOW DO I KNOW IF AN EQUATION IS LINEAR?

If an equation is linear, the result is a straight line.

8

Solutions to Linear Equations

To ask "Is the ordered pair (1,3) a solution to the equation

y = 10x - 7?", is the same as asking, " Is the point (1,3) on

the line of y = 10x -7"? How do we know?

Determine whether the following ordered pairs are solutions to

the equation y = 10x -7

a.) (1,3) b.) (2, 13) c.) (-1,-3)

9

Finding the x-and y-intercepts of Linear Equations

The path of the defender crosses the path of the thrown

football.

In algebra, what are x- and y-intercepts?

What does it mean to INTERCEPT a pass in football?

10

The x-intercept is where the graph crosses the x-axis.

The y-coordinate is always zero.

The y-intercept is where the graph crosses the y-axis.

The x-coordinate is always zero.

(2, 0)

(0, 6)

11

What do you notice about the value of ‘C’ above?

9

5

1. (3, 0)

2. (8, 0)

3. (0, -4)

4. (0, -6)

1. (-1, 0)

2. (-8, 0)

3. (0, 2)

4. (0, 4)

What is the y-intercept of

x = 3?

1. (3, 0)

2. (-3, 0)

3. (0, 3)

4. None

We are going to watch a series of short videos. Your task is to

graph what happens in the video. Each action is 15 seconds

long, and the video is repeated again at half speed.

The x variable is given on each graph. You will add the y

variable before watching the video. Please number your

graphs, matching the order of the video watched.

Elevation:

Follow Closely: