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Algebra 5.4
5.4 The Slope Formula
Learning Targets
Language Goal Students will be able to verbally
explian how to find slope.Math Goal Students will be able to find slope
using the slope formula.Essential Questions What is the important information
we can get from finding the slope?
5.4 Warm-up
5.3 Homework Check
5.3 Homework Check
Slope Formula
The letter m represents slope!
Need: Two points on a line to determine slope
Formula:
Example 1: Positive Slope Rises Find the slope of a line passing through(-3, 0) and (-1, 6)
Example 2: Negative Slope FallsFind the slope of the line passing through (-2, 1) and (1, -3)
Example 3: Positive or Negative?Find the slope of the line passing through (5, 0) and (0, 2)
Example 4: Zero Slope (Horizontal)
Find the slope of the line passing through (-1, -3) and (5, -3)
Example 5: Undefined Slope (Vertical)
Find the slope of the line passing through (0, -1) and (0, 4)
Notecard Slope
On your notecard write an ordered pair (x, y).
Your x and y coordinate may contain any number between -10 and 10.
Fractions are allowed too. Once it is written on your notecard
wait until further instructions.
Notecard Slope
You will partner with someone in the class
Use your two points to determine the slope of the line.
Once you have found your slope determine whether your slope is positive, negative, no slope or undefined.
We will rotate as a class.
Example 6: Given Slope, find y –coordinate
Find the vale of y so that the line passing through the points (-3, y) and (1, 5) has a slope of -2.
Example 7: Given Slope, find y –coordinate
Find the vale of y so that the line passing through the points (3, y) and (5, 8) has a slope of 2.
Example 8: Finding Slope from Tables
First, use the table to write two ordered pairs.
Then, use those two points to calculate slope using the slope formula.
Example 8: Finding Slope from Tables
x 0 2 5 6
y 1 5 11 13
Find two ordered pairs from the table.
Use the ordered pairs to calculate slope.
Example 8: Finding Slope from Tables
x -2 0 2 4
y 3 0 -3 -6
Find two ordered pairs from the table.
Use the ordered pairs to calculate slope.
Example 8: Finding Slope from Tables
x -2 0 2 4
y 3 0 -3 -6
Find two ordered pairs from the table.
Use the ordered pairs to calculate slope.
Example 9: Finding Slope from an Equation
Step 1: Find the x – intercept
Step 2: Find the y – intercept
Step 3: Use the slope formula
Example 9: Finding Slope from an Equation
Find the slope of the line described by
Example 9: Finding Slope from an Equation
Find the slope of the line described by
Whiteboards with LQ
Pass out Whiteboards or students can do in notebook.
Go over as a class.
5.4 Lesson Quiz