Linear Representation Lesson

Linear Representations

Using a Constant Rate of Change to write a linear equation from table, graph, and/or scenarios.

How to write an equation using a graph.

Step 1: Find the y-intercept, and record that in the blank.
Step 2: Find the constant rate of change and record that in the box.
Step 3: Rewrite in the y=mx+b format.

Draw

Find the Constant Rate of Change in this graph.

Step 1: Find the y-intercept, and record that in the blank.
Step 2: Find the constant rate of change and record that in the box.
Step 3: Rewrite in the y=mx+b format.

Draw

Find the Constant Rate of Change in this graph.

Step 1: Find the y-intercept, and record that in the blank.
Step 2: Find the constant rate of change and record that in the box.
Step 3: Rewrite in the y=mx+b format.

Draw

Find the Constant Rate of Change in this graph.

Step 1: Find the y-intercept, and record that in the blank.
Step 2: Find the constant rate of change and record that in the box.
Step 3: Rewrite in the y=mx+b format.

Match

Match the following graph with the equations.

y = 10x

y = 18x

y = 5x + 60

y = 12x + 20

• y = 10x

• y = 18x

• y = 5x + 60

• y = 12x + 20

Multiple Choice

What is the equation that represents the relationship between the number of months to remaining balance on the loan?

• y = 50 x + 500

• y = 500x + 50

• y = -500x + 50

• y = -50x + 500

How to write an equation using a scenario and graph.

Step 1: Use the graphic organizer: x + _____
Step 2: Find the constant rate of change and record that in the box. That is what you are going to skip by on the graph.
Step 3: Find the y-intercept, the number that is given, the add-on, the adjustment, or what you start with. write that in the blank.
Step 4: Rewrite in the y=mx+b format.

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Draw

Esteban went bowling with his friends. The cost to bowl is $5 per game with a rental shoe fee of $3.

 

Hotspot

Graph the first 3 coordinates for the following scenario: The Texas State Rodeo charges $12.50 to enter the grounds and an additional $2.50 per ride in the carnival.

Hotspot

Graph the first 3 points of the following scenario: The entrance ticket for the Holiday fair is $8 and each ride is $2.

Hotspot

Ms. Ibrahim traveled a total of 150 miles for work in 5 days. She traveled the same distance for work each day.

Which three points lie on the line that represents the total distance in miles, y, she traveled for work in x days?

click on THREE correct points.

Math Response

Look at the graph, and write the equation that matches this graph.

Type answer here

Correct Answer: y=8x

Deg^°

Rad

Step 1: determine where the line crossed the y-axis, and place that in the blank.
Step 2: determine the CROC of the line, and place that in the box.
Step 3: rewrite the equation in the y=mx+b format.

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x + _____

How to write the equation with a 4-quadrant graph.

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Step 1: determine where the line crossed the y-axis, and place that in the blank.
Step 2: determine the CROC of the line, and place that in the box.
Step 3: rewrite the equation in the y=mx+b format.

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x + _____

How to write the equation with a 4-quadrant graph.

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How to graph the equation on a 4-quadrant graph.

Graphing

Graph the equation

y = 2x + 2

Graphing

Graph the equation,

y = -5x + 10

Graphing

Graph the equation,

y = $$\frac{3}{5}$$ x - 3

Graphing

Graph the equation,

$$y=-\frac{1}{2}x+7$$