This document discusses finding the slope of a line in multiple ways: 1) Using a table by taking the change in y over the change in x 2) From the equation of a line in slope-intercept form (y=mx+b), where m represents the slope 3) Examples are provided of finding slope from tables and equations, including word problems about river levels rising at a certain rate over time. Readers are instructed to practice finding slope just from equations on a specific page in their textbook.

1. Skill31A and following Slope in More Ways
In the last lesson posted as Skill31 we looked at plotting points on the number plane and
finding slope by counting up and over or the rise over run method. We also used the
formula for slope from the Formula sheet available to you on the test.
In this lesson we will find slope from a chart using “change in y over change in x” and then
from the equation of a line in slope intercept form.
Start on page 169 in the book.
Find the slope of each table (from page
169.This is #1.
Look at the change in y (add 5)
Look at the change in x. (add 1)
Change in y over change in x is 5/1 or 5

2. Another problem from page 169. Problem 4
See that the y values are going down by 3 so the change is -3.
See that the x values are going up by 1 so the change in x is +1
Slope is then -3/1 or -3.

3. Problem 3 from page 169.

4. One the test, there will probably be a word problem that sets up the table.
The river outside a small town is measured every day for five days and recorded in
a table shown. What is the rate at which the river level is rising?
Rate is another word
for slope.
Find change in y over
change in x.
Slope is 0.5/1 or 0.5
That means the river
is rising at a rate of 0.5
feet per day.
This would be
important to you if
you lived by the river!!
You would be flooded.

5. Now we will find slope another way. This comes from the slope intercept form
Of the equation of a line. Y = mx + b
The letter “m” is used to stand for the slope.
So, if I told you a line had an equation y = 4x + 2, you would say
the slope is 4.
If I told you a line had an equation y = -3x -1, you would say the
slope is -3.
If I told you a line had an equation y = ¾ x +7, you would say the
slope is ¾.
If I told you a line had equation y = -5/8 x +3, you would say the
slope is -5/8.

6. Look at these problems from page 165 in your book. Find just the slope.
Don’t worry about the graph. We will talk about that in the next lesson.
The answers are on the next page.

7. Answers to page 165 find just the slope from the y = mx + b form of the equation
of a line.
1. 2/3 2. ½ 3. -3/4 4. 2 5. -3 6. -3/2
7. 4 8. -1/4 9. 5/3