User:
Linear functions
- Does (x,y) satisfy the linear equation?
- Evaluate a linear function
- Complete a function table
- Write a rule for a function table
- Find points on a function graph
- Graph a line from a function table
- Graph a line from an equation
- Linear function word problem
- Find the slope of a graph
- Find the slope from two points
- Find the slope from an equation
- Graph a line using the slope
- Slopes of parallel and perpendicular lines
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Write a rule for a function table
Write the rule for the following function table.
y=______
7
13
4
10
9
15
2
8
5
11
6
12
The solution is y=x+6
Write the rule for the following function table.
y=______
1
0
2
1
3
2
4
3
Linear functions are of the form y=mx+b.
First
find m.
Look at the table and notice that every time the terms x go up by 1, the y terms go up by 1. This means that m is equal to 1.
Next find b.
Take the equation y=mx+b and plug in the m value (m=1) and a pair of (x,y) coordinates from the table, such as (1,0). Then solve for b.
y
=
mx+b
0
=
1(1)+b
Plug in m=1, x=1 and y=0
0
=
1+b
Simplify
-1
=
b
Simplify
Finally, use the m and b values you found (m=1 and b=-1) to write the equation.
y
=
mx+b
y
=
1x-1
Plug in m=1 and b=-1
y
=
x-1
Simplify
So, the equation is y=x-1