To determine the slope of the function from a table of values, we need to identify two distinct points from the table. A point can be represented as (x1, y1) and (x2, y2). The formula for the slope (m) is:
m = (y2 – y1) / (x2 – x1)
This formula calculates the rate of change in the y-values with respect to the x-values.
For example, if our table of values shows the points (2, 3) and (4, 7), we would plug these into the formula:
m = (7 – 3) / (4 – 2) = 4 / 2 = 2
This means that for every increase of 1 in the x-direction, the y-value increases by 2. Thus, the slope of the function represented by the table is 2.
Make sure to use your specific table of values to calculate the correct slope!