
Calculating Slope
Presentation
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Medium
Standards-aligned
Cassandra Cogburn
Used 33+ times
FREE Resource
8 Slides • 18 Questions
1
Calculating Slope
From Sequences, Tables, Graphs, Situations, Equations, and Points
2
Identifying Slope From an Equation
The variable "m" represents the slope in the equation y = mx + b. The slope will always be the number that precedes the "x" when an equation is written in slope intercept form (y = mx + b). The COEFFICIENT of "x" is the slope.
3
Multiple Choice
What is the slope in the equation y = 3x + 6?
3
6/3 = 2
3/6 = 1/2
6
4
Fill in the Blanks
Type answer...
5
Multiple Choice
What is the slope in the equation y = x/3 - 2
-2
3
1/3
2/3
6
Calculate Slope from Two Points
Use the slope formula y2-y1/x2-x1
Remember to label one point as Point 1 and the other as Point 2. Label the x and y (x,y) from each point.
Plug in the appropriate numbers to the formula and calculate the slope.
7
Multiple Choice
Calculate the slope of the line that goes through the following points: (0, 4) (6, 13)
9
3/2
2/3
-3
8
Multiple Choice
Calculate the slope of the line that goes through the following points: (-2, 5) (1, -7)
-4
-2
12
3
9
Multiple Choice
Calculate the slope of the line that goes through the following points: (0,0) (2,4)
4
-2
2
1/2
10
Calculating Slope From Graphs
Use rise/run to calculate slope from a graph.
This is just counting the 'vertical change' and the 'horizontal change.'
Change in Y/Change in X
Horizontal and Vertical Lines are special cases
11
Slope
-If the line is increasing from left to right, it has a POSITIVE slope.
-If the line is decreasing from left to right, it has a NEGATIVE slope.
-A horizontal line has a slope of ZERO (there is no 'rise,' but there is a 'run').
-A vertical line has an UNDEFINED slope because there is a 'rise,' but there is no 'run' and we cannot divide by zero (no zero in the denominator).
12
Multiple Choice
Use the graph to calculate the slope of the line.
3/2
-3/2
-3
-2
13
Multiple Select
The slope of this line is...
Zero
Undefined
Negative
Positive
14
Multiple Select
The slope of this line is...
Zero
Undefined
Negative
Positive
15
Fill in the Blanks
Type answer...
16
Multiple Choice
3
2
-6
1/3
17
Calculating Slope From a Table
Remember to determine what is happening to the y-values, then the x-values.
Write a ratio for each (especially if it is not consistent).
Compare the ratios to make sure that they are equal and the rate of change is CONSTANT!
Change in Y/Change in X
18
Multiple Choice
Calculate the slope from the table:
10
-10
-20
2
19
Multiple Choice
Calculate the slope from the table:
8
2
4
1/4
20
Calculating Slope From a Sequence
Remember to just identify the pattern!
If you are adding or subtracting the same number each time, then your sequence is ARITHMETIC (Linear).
21
Multiple Choice
Calculate the slope (or common difference).
-4
1/4
1
4
22
Fill in the Blanks
Type answer...
23
Calculating Slope From Situations
Look for KEY words such as "each," "every," and "per."
Remember that the slope is what is happneing every time (or what is happening over and over again)!
24
Multiple Choice
Calculate the slope of the line that represents this situation: The diver DESCENDS 5 feet every second.
5
-5
1/5
-1/5
25
Fill in the Blanks
Type answer...
26
Multiple Select
The slope of this line is...
Zero
Undefined
Negative
Positive
Calculating Slope
From Sequences, Tables, Graphs, Situations, Equations, and Points
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