By the end of this unit:
You will be able to demonstrate that you have developed the ability to:

 Derive the equation y = mx + b for a line given two distinct non-vertical points
(8.EE.5)

 Derive the equation y = mx + b for line through the origin and the equation y = mx + b for a line intersecting the vertical axis at b
(8.EE.6)

 Explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane using similar triangles
(8.EE.6)

Slope of a Line:
In skiing, slope refers to a slanted mountain side.
The steeper the slope is, the higher its difficulty rating will be. In math, slope defines the “slant” of a line. The larger the absolute value of the slope is, the “steeper”, or more vertical the line will be.

Linear Equations:
 Linear equations have constant slope
 For a line on a coordinate plane, to find the slope we use the ratio: rise over run

 Rise is the number of units moved up or down
 Run is the number of units moved right or left

 Slope can be… positive negative zero undefined

https://www.youtube.com/w atch?feature=player_embedd ed&v=JLxA2v0pjKY

The slope is… positive

The slope is… negative

The slope is… zero

The slope is… undefined

 Where the line crosses the x-axis
 Y = 0

 Where the line crosses the y-axis
 X = 0

Slope Intercept Form

Slope
Intercept Form
Foldable
HTTP://MATHEQUALSLOVE.BL
OGSPOT.COM/2012/11/NEW-
YMXB-FOLDABLE.HTML

Slope Intercept Form
Y = m x + b