Christmas Standard Delivery Deadline 12/18
: :
Get up to 50% Off! Code: MXSHIP Ends: 12/12 Details
Apply
  1. Help

Linear Functions and the Coordinate Plane

Hello, you either have JavaScript turned off or an old version of Adobe's Flash Player. Get the latest Flash player.

Linear Functions and the Coordinate Plane - Page Text Content

BC: James quickly understood how the y-intercept and slope could be used to write the equation of a line. He used the formula y=mx+b, where m was the slope of the line and b was the y-intercept.

FC: Linear Functions and the Coordinate Plane

1: James was eager to complete his assignment in his middle school math class. He was beginning a lesson on linear functions. Before he could learn about the slope and y-intercept of a function, he had to review what he knew about the coordinate plane.

2: James began by reviewing the basic areas of the coordinate plane. He knew the coordinate grid was two lines known as axes. The x-axis cuts the plane in half horizontally and the y-axis cuts the plane vertically. The intersection of these axes is called the origin. It has a coordinate of (0,0).

4: He also remembered that the x-axis and y-axis cut the coordinate plane into 4 regions called quadrants. Quadrant I was located in the top, right region and each quadrant was numbered counterclockwise.

6: Next, James looked up how to graph an ordered pair. He saw that each ordered pair had two numbers, an x-coordinate and a y-coordinate. Starting at the origin, he used the x-coordinate to determine how for right or left to plot the point. The y-coordinate told James how far up or down to plot the coordinate. James practiced by plotting (6,-5) on the coordinate plane. He showed his work on the right.

8: Finally, it was time for James to start learning about how linear functions are graphed on the coordinate plane. The first new vocabulary word he discovered was y-intercept. The y-intercept is the point on the line where a linear function crosses the y--axis. An example in his textbook showed a line with a y-intercept of 3.

10: The other important term that was mentioned by James' math teacher was slope. The teacher described slope as a measure that states the steepness of a line. Lines that have an upward trend are said to have a positive slope and lines with a downward trend have a negative slope.

12: The teacher then went over an example of how to calculate the slope of a plotted line. He showed students how count the rise and run of the line. Finally, the students used the rise and run to create a fraction that represented the slope of the line.

Sizes: mini|medium|large|enormous
Default User
  • By: Nathaniel I.
  • Joined: about 4 years ago
  • Published Mixbooks: 1
No contributors

About This Mixbook

  • Title: Linear Functions and the Coordinate Plane
  • Incorporating technology and Language Arts into the Math curriculum
  • Tags: None
  • Published: about 4 years ago

Get up to 50% off
Your first order

Get up to 50% off
Your first order