Let's assume the following table:
In order to find the constant rate of change we can do the following steps:
Step 1:
Identify the independent variable and the dependent variable
The dependent variable is usually y
The independent variable is usually x
Step 2:
The constant rate of change will be given by the following formula:
Step 3:
From the table take two different values from y and two different values for x, for example, from the previous table:
y1 = -4
y2 = -2
x1 = -2
x2 = -1
Step 4:
Replace those values into the formula:
Therefore, the constant rate of change for the table is 2.
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The y-intercept can be found locating the value of y when x is equal to 0.
For example, from the table:
When x = 0, y is equal to 0. Therefore, the y-intercept for the table is 0