Axis+Intercepts

=Axis Intercepts = = =

=Warm Up= 1) (3,-2) and (4,4)
 * Find the slope of a line given two points. Leave fractions improper if you find one. Simplify.**

2) (-1,-1) and (0,3)

3) (-2, 0) and (4,-3)

4) (-4,5) and (1,-2)

5) (1,5) and (6,10)

=**What is an axis intercept?** = = = An axis intercept is a point where a line crosses the x axis or the y axis on a coordinate graph.

=**Learning Objectives**=
 * 1) Identify the x and y intercepts from a linear equation using the zero method.
 * 2) Graph a line with the x and y intercepts.

=**Lesson Notes**=

If you have a linear equation that represents a line then you can use that equation to find the points that the line will cross the x and y axis. Remember that the x axis is the line on the graph the goes left to right, and the y axis is the line that goes up and down. The following method is used to find the points on a line that cross the x axis and y axis.

To use the zero method, replace one variable at a time with the number zero.
 * Zero Method**

This means that the line that fits the equation will cross the x axis at the point (3,0). You can identify the y intercept using the same steps. Just solve for y instead of x. This means that the line crosses the y axis at (0,2)
 * For example: 2x + 3y = 6**
 * 1) Replace the y with zero 2x + 3(0) = 6
 * 2) Now solve for x, 2x = 6
 * 3) x = 3
 * 1) Replace the x with zero 2(0) + 3y = 6
 * 2) Now solve for y 3y = 6
 * 3) y = 2

The graph below shows the pints in red that the line crosses the x and y axis. The line crosses the x axis at 3 and the y axis at 2.

=**View Video**= The following video describes how to graph a line using the x and y intercepts. If you are having trouble viewing this video right click on the black screen and select zoom to full screen.

Intercepts Video media type="file" key="Intercepts.wmv" width="300" height="300"

=**PowerPoint**= View the following presentation on the zero method. View as a PowerPoint View as a PDF

=**Assignment**= Now its your turn. The link below will take you to your assignment. Make sure to show your work. 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.

Intercepts Assignment



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

=For Teachers=

Axis Intercepts Lesson Plan 