Slope+Intercept+Form

=Slope Intercept Form =

=Warm Up= 1) (-6,-3) and (2,-1)
 * Find the slope of the line containing the following points.**

2) (4,7) and (12,2)

3) (-2,-3) and (-7,-12)

4) 5x - 4y = 40
 * Use the zero method to find the x and y intercepts of the line with the following equations.**

5) y = 0.5x - 2

=What is slope intercept form?= When graphing linear equations, arranging the variables and constant terms of a linear equation in the order **y = mx + b** makes graphing a breeze. Equations written in this order are called slope intercept form.

=**Learning Objectives**=
 * 1) Solve a linear equation for y.
 * 2) Graph equations in slope intercept form.

=Lesson Notes=

= Slope Intercept Form =

y=mx+b

=**An equation in this form may look like this**= y=4x+5

Things to remember about slope intercept form:


 * 1) The letter m is the slope of the line. If it isn't a fraction put it over 1 before graphing.
 * 2) The letter b represents the y intercept, or the point that the line will cross the y axis.
 * 3) The x and the y represent the variables in the problem.
 * 4) To graph the line y = 4x + 5 notice that b = 5 and m = 4
 * Step 1. start by graphing the y intercept, that's b, by making a dot on the y axis at 5. Remember that the y axis is the one that goes up and down.
 * [[image:y_int_5.jpg]]
 * Step 2. From the y intercept use the slope to rise and run to find the next point. Notice the green dots rise 4 and run to the right 1.
 * [[image:y=mx+b_graph.jpg]]
 * Step 3. Draw a line through the two points to make a line.
 * [[image:y=mx+b_line.jpg]]
 * 1) Leave fractions for slope as improper (you still need to simplify fractions)
 * 1) Leave fractions for slope as improper (you still need to simplify fractions)

=View Video=

If you are having trouble viewing this video right click on the black screen and select zoom to full screen.

Slope Intercept Video media type="file" key="slopeint.wmv" width="300" height="300"

=PowerPoint= The following presentation give some examples of how to write an equation in slope intercept form, and the graph of the line. Make sure to take good notes on each example. Draw and label a graph for each example. Make a special note of the direction on how to graph the line. View as a PowerPoint View as a PDF

Use the link to [|Webmath.com]. ** The website has a program that will graph a line for you if the equation is in slope intercept form. Just enter the slope and y intercept into the form and click on plot it. The screen will change to show the graph of your line. In your notes copy the graph for the following lines. Note the differences in the lines. **


 * 1) **y = 2x + 1**
 * 2) **y = 1/2x + 1**
 * 3) **y = -2x - 1**
 * 4) **y = -1/2x - 1**


 * Practice Graphing a Line At [|Webmath.com]**

Play the following game. Each student should play through level five in order to check this of. **To show that you have finished level 5 print a report of your score.** There is a link to print a report at the top of the game.


 * [|Algebra vs. The Cockroaches]**

=Assignment**= Now it's your turn. Click on the link below to view the assignment. This assignment can be edited and saved on your computer. To turn this assignment in each student is to do one of the following things.


 * 1) Save the edited version on your computer and email the file as an attachment to Mr. Clarke. Use the following link to email. troy.clarke@canyonsdistrict.org
 * 2) Print out a copy of the worksheet and hand in the completed assignment in class.

Slope Intercept Assignment



=[|Quiz]= Slope =Axis Intercepts = =Slope Intercept Form = =Point Slope Form = =Standard Form =

=For Teachers=

Slope Intercept Form Lesson Plan