the latest edition in the "unlocked" franchise

Slope Unlocked

A basic guide to Slope

Table of Contents

Introduction ............... Pg 2

Finding/ Calculating
Slope ............................... Pg 3

Practice Problems ....Pg 8

Citations............................Pg 10

by...

Brady

1

Jairo

Shekhar

2

You must understand the basic principles and terminology.

First...

Graph

origin

(0,0)

Horizontal (Zero slope) is on the x-axis and vertical (Undefined) is on the y-axis

Y-intercept

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What is slope?

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The slope of a line is the measure of the steepness and the direction of the line. and it can be found with a simple formula

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The variable for slope is...

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m!

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m = slope

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3

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What is "Rise" and "Run"?

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4

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The rise and run is how we solve for slope (m). The formula is m=rise/run. When they are divided with each other, they give us the slope.

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Rise

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Way to remember: You can use the word 'rYse' instead of 'rise' to remember that it means to go up/down on the Y-axis

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The "rise" of a line is how much the line goes up (+) or down (-) on the y-axis.

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Negative Slope (-m)

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Positive Slope (m)

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Run

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The "run" of a line is how much the line goes left (-) or right (+) on the x-axis.

What is the Slope-Intercept form?

The Slope-Intercept form is the equation of a line with a y-intercept. The formula is 'y=mx+b'.

m = slope
b = y-intercept

y = mx + b

5

m = 3 or 3/1
b = -2

6

How do I find the slope?

There are two ways to find the slope of a line:


The first one is by simply counting up/down on the y-axis using the rise, and then going left/right on the x-axis using the run. - Rise/run formula

Rise = 2
Run = 3

Solution

m = 2/3

How do I Find the Slope?

The second way is by finding the slope from two ordered pairs, (x₁,y₁) and (x₂,y₂) using the 'y₂-y₁/x₂-x₁' formula.

Ordered Pair

(1,3)

and

(4,5)

Remember: (x₁, y₁) and (x₂, y₂)

7

m =

5

-

3

2

4

-

1

=

3

Solution

Try some!

8

answers are on the next page....

question 1

Find the y-intercept

question 2

Find the slope

question 3

Find the slope

question 4

Find the y-intercept

question 1

5

question 2

Undefined

9

question 3

-3/2

question 4

1