The slope of a linear function represents the rate of change of the function. To find the slope from a table of values, you can use the formula:
Slope (m) = (y2 – y1) / (x2 – x1)
Choose two points from the table, where each point is represented as (x1, y1) and (x2, y2). Subtract the y-values and divide by the difference of the x-values. This will give you the slope of the linear function.
For example, if your table has the points (1, 2) and (3, 6), the calculation would look like this:
Slope = (6 – 2) / (3 – 1) = 4 / 2 = 2
Therefore, the slope of the function is 2. This means that for every 1 unit increase in x, y increases by 2 units.