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# Algebra 1 power pointlr

## on Mar 26, 2011

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## Algebra 1 power pointlrPresentation Transcript

• Algebra 1
Chapter 5
• Slope
Slope is represented by the letter m
Rise
Run
Slope =
• Where can slope be found in the world?
• Construction
• Recreation
• Sports
• Engineering
• Quick Reminder
Lines rising from left to right have a positive slope
• Lines falling from left to right have a negative slope
• 0 slope
• No Slope= undefined
• Finding Slope by counting squares
run
rise
Rise= 3
Run= 2
3
2
Slope=
• Practice
What is the slope?
Find the slope by counting rise over run.
run
rise
3
1
Slope=
or 3
• More Practice
What is the slope? Count rise over run.
5
4
Slope=
-
• Calculating slope
Requires two points (x ,y ) (x ,y )
m=
2
2
1
1
y - y
x - x
2
1
2
1
• Example
(3, -2)
(1, -4)
y -y
(x ,y )
(x ,y )
-4-1
1-3
-5
-2
5
2
1
2
1
1
2
2
=
=
x - x
(3 , -2)
(1 , -4)
1
2
• Slope Intercept Form
y= mx+b
m= slope
b= y intercept
slope y intercept
• y intercept
The y intercept is where the line crosses the
y axis. y axis
y intercept
y intercept = 2
x axis
• y intercept
y intercepts can be positive
or negative numbers
y axis
x axis
y intercept= +1
y axis
x axis
y intercept= -2
• Graphing Slope Intercept Form
Step one: graph y intercept on y axis
Step two: from that point use slope to graph second point
Step three: connect the points
You have now graphed a line using slope-intercept form.
• Point-slope Form
y- y = m(x-x )
1
1
• Point slope form requirements
You must have one point and the slope of the line in order to write in point-slope form.
You then substitute the slope in for the letter m and the numbers from the point in there correct spot.
• Prentice Hall Algebra I Volume 1 Teacher’s Edition Pearson Education Inc.,
2011 (p.311).
Prentice Hall Algebra I Volume I Teacher’s Edition Teacher Resources Chapter 5, Pearson Education Inc., 2011 (Practice Forms)
This citation is for slides (8-28).
I