Types of Slope and Finding Slope from a Graph

Slope from Graph

​NC.8.F.4

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​EQ: How can slope be determined from a graph,table or ordered pair?

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by Ms. May

​Let's recap what we already know

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​Recap

• ​Slope is the steepness and direction of a line

• ​slope can be positive,negative,zero or undefined

• ​slope can be determined from a graph,table or ordered pairs

• ​Slope is a ratio of change in y values divided by change in x values

• ​slope must be written as a fraction in simplest form

• ​symbol for slope is m

• ​slope formula is y2-y1/x2-x1 and answer should be written y/x (rise/run)

​Slope from Graph Steps

​Example

​Find the slope of the graphed line.

​What is our first step?

​Step 1-Plot Points on Line

​Plot and label 2 points on the line, anywhere on the line. Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope.

​Step 2- Connect Points with Right Triangle

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​Connect points by drawing a right triangle and Calculate the rise and run by counting units. (You can draw it on the graph if it helps).

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​*Once 2 points have been plotted ON LINE, you can also just use slope Formula!*

​Step 3-Write slope as Rise/Run (y/x)

​**Pay attention to the TYPE of

slope you have, it should match your answer! Ex. If the graphed line is negative, your answer for slope should also be negative!**

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Lets Review our Graph Steps​

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Multiple Choice

When finding slope from graph, what is our first step?

• make right triangle

• count units

• plot 2 points on the graphed line

• write slope as y/x

Multiple Choice

What is our second step?

• connect the points to form a right triangle

• connect the points with straight line

Multiple Choice

After forming right triangle we can...

• count the units for rise and run

• find area of the triangle

• find perimeter of the triangle

Multiple Choice

slope should be written as

• (x,y)

• x/y

• y/x

• m=

Let's practice finding slope from graphs​

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your turn!​

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