Linear Functions
Complete the table: y=3x-1
x | y | (x,y)
-1| |
0 | |
2 | |
-1 , -4 , (-1,-4)
0, -1, (0,-1)
2, 5, (2,5)
Find the Slope
x | y
1 8
4 6
7 4
10 2
-2/3
Find the slope between (0,4) and (6,16)
2
Is this graph proportional?
y= 3x
Explain.
Yes, because it increases at a constant rate and goes through the origin.
Write a Linear function with a slope of 3.
Example: y=3x
Complete the table: y=2x+1
x | y | (x,y)
-3| |
0 | |
2 | |
-3, -5, (-3,-5)
0, 1, (0,1)
2, 5, (2,5)
Find the Slope
x | y
1 2
2 10
5 18
7 26
Find the slope between (2,4) and (8,16)
2
Is this graph proportional?
y= 2x-1
Explain.
No, because it does not go through the origin.
Write an equation of a proportional relationship.
Example: y=4x
Complete the table: y=1/2x+3
x | y | (x,y)
-2| |
0 | |
4 | |
-2, 2, (-2,2)
0, 3, (0,3)
4, 5, (4,5)
Find the Slope
x | y
-3 0
2 2
7 4
12 6
2/5
Find the slope between (0,4) and (4,16)
3
Is this table proportional? Explain
x | y
3 1
6 2
9 3
12 4
Yes, it goes through the origin and has a constant proportion.
Draw a graph with a slope of 3/2.
Show answer
Complete the table: y=1/3x+4
x | y | (x,y)
-3| |
0 | |
3 | |
-3, 3, (-3,3)
0, 4, (0,4)
3, 5, (3,5)
Find the Slope
x | y
1 10
2 15
3 20
4 25
5
Find the slope between (0,4) and (6,0)
-3/2
Is this table proportional? Explain
x | y
2 2
6 6
10 10
14 14
Yes, it goes through the origin and has a constant proportion.
y=3x+2
What is the output when the input is 5?
17
Complete the table: y=-1/4x+1
x | y | (x,y)
-4| |
0 | |
8 | |
-4, 2, (-4,2)
0, 1, (0,1)
8, -1, (8,-1)
Find the Slope
x | y
2 5
4 11
5 14
10 29
3
Find the slope between (0,4) and (6,10)
1
Is this table proportional? Explain
x | y
2 4
5 8
8 13
10 23
No, because it does not have a constant proportion.
What are you going to make on the test tomorrow?
100