
Proportional Graphs
Presentation
•
Mathematics
•
7th Grade
•
Practice Problem
•
Medium
+3
Standards-aligned
Stefany Kemp
Used 16+ times
FREE Resource
7 Slides • 6 Questions
1
Proportional Graphs
by Stefany Kemp
2
Let's Look at y=kx
In this formula the y and x are our values for our graphing coodinates (x,y).
Suppose we are given our k or constant value in the formula:
y=2x
Because we know the k or constant value it is easy to graph our points
3
Multiple Choice
y=kx
Suppose we are given our k or constant value in the formula:
y=2x
We know the k or constant value is 2. Where will we get the values for x?
The values on the y-axis of the graph.
The values on the x-axis of the graph.
4
Draw
Plot the lines for a proportional graph if the k, constant is 2.
y=2x
5
What if we aren't give the value for k (constant) and we are just given the graph?
We know that in the graph we have the x and y values for our formula, from our x-axis and our y-axis.
y=kx.
Let's plug the point (1,2) into the formula. 2=k(1)
- In order to solve we need to move the 1 to get k on one side of the equation.
How do we get k by itslef?
6
Multiple Choice
How do we get k by itself?
2=k(1)
Add 1 to both sides
Subtract 1 from both sides
Multiply 1 to both sides
Divide 1 on both sides
7
What if we aren't give the value for k (constant) and we are just given the graph?
How do we find the consant?
Let's plug the point (1,2) into the formula. 2=k(1)
- In order to solve we need to move the 1 to get k on one side of the equation.
- Divide 1 on each side of the equation to get k by itslef:
2/1=k(1)/1
*This gives us the the formual k=y/x
2/1=k
8
What if we aren't give the value for k (constant) and we are just given the graph?
How do we find the consant?
- Point (1,2)
2/1=k(1)/1
2/1=k
k=2
Use the formula k=y/x to see if points (2,4) and (3,6) equal the same value for k.
9
Poll
Do they equal the same value for k?
Yes
N
10
What if we aren't give the value for k (constant) and we are just given the graph?
How do we find the consant?
- Point (1,2)
2/1=k(1)/1
2/1=k
k=2
Use the formula k=y/x to see if points (2,4) and (3,6) equal the same value for k.
k=4/2 k=2
k=6/3 k=2
*Because k the same value at each point the graph is proportional.
11
Multiple Choice
How do we know this graph is proportional?
k is the same value at each point
The line intersects with the origin
The line is straight
All of the above
12
Fill in the Blanks
Type answer...
13
Great Job!
Proportional Graphs
by Stefany Kemp
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