Graphing Linear Equations

Graphing Linear Equations

What is a Linear Equation?

An equation whose graph is a line.

Multiple Choice

Which of the following shows a linear equation?

A linear equation can be shown 3 ways:

• xy table

• graph

• equation

Evaluating Linear Equations

What does it mean to evaluate?

Evaluating Linear Equations

• Replace the variable with its value

• Follow the Order of Operations

• You will find the answer - the value of the whole equation

Fill in the Blank

y = 5x - 3 when x = 2

Fill in the Blank

y = -2x + 13 when x = 6

Fill in the Blank

y = 3x + 10 when x = -5

Make an XY Table

• Evaluate each x value

• That number will go in the y box next to its x value

Evaluate y = 2x + 1 when x = -1

Evaluate y = 2x + 1 when x = 0

Evaluate y = 2x + 1 when x = 1

Evaluate y = 2x + 1 when x = 2

Fill in the Blank

Evaluate y = 2x + 1 when x = 2

Here's the complete XY Table

Notice the pattern?!?

The values on the XY Table can become ordered pairs.

Ordered pairs are shown in the format (x, y)

Ta-Da! The graph is a straight line!

If you don't get a straight line, you made a mistake somewhere in your calculation or graphing.