Make an equation from a table
x
0
1
2
3
4
y
1
3
5
7
9
Y = mx + b
1. Find the rate of change.
a. When x goes up by one, figure out what y is (or the change in y
divided by the change in x)
2. The rate of change is the coefficient of x (m in the equation above)
3. Find the y-intercept
a. When x is 0, figure out what y is
4. The y-intercept is the b in the equation above.
Make a table from an equation
x
0
1
2
3
4
1.
2.
3.
4.
y
2
4
6
8
10
Y = 2x + 2
Make a t-table.
Number x from 0 to (about) 4
Plug the values of x into the equation.
Write the answer to the equation in the corresponding y- column.
a. Example: If x = 3, then 2 (3) + 2 = 8
Make a graph from an equation
1. First, make a t-table
2. Plot the points on the graph (x, y)
a. Example (from above table): the coordinate points to plot are
(0, 2), (1, 4), (2, 6), (3, 8) (4. 10)
b. Tip: The first number is always graphed on the x-axis
(independent variable) and the second number on the y-axis
(dependent variable).
Y = mx + b
Y = the dependent variable
What we are trying to solve for
Graphed on the y-axis
M = the coefficient of x
The constant rate of change
X = the independent variable
You multiply the coefficient by this
Graphed on the x-axis
+b = the y-intercept
In a table, when x is 0, this is y
In a graph, this is where the line crosses the y-axis