Question

The table represents a linear function. A two column table with six rows. The first row, x, has the entries negative 4, negative 2, 0, 2, 4. The second column, y, has the entries, negative 16, negative 6, 4, 14, 24. What is the slope of the function? –10 –5 5 10

Answer 1

The slope of the given linear function is 5, calculated by the change in y over the change in x between two distinct points from the table. Therefore correct option is C

Step-by-step explanation:

To determine the slope of the linear function represented by the given table, we look at the changes in the y values relative to the changes in the x values.

The slope (m) can be calculated using the formula m = Δy / Δx, which means the change in y divided by the change in x.

Picking two points, such as (-4, -16) and (-2, -6), the change in y is -6 - (-16) = 10, and the change in x is -2 - (-4) = 2.

Thus, the slope is m = 10 / 2 = 5. The slope of the function is positive and has a numerical value of 5. This demonstrates the dependence of y on x; for every unit increase in x, y increases by 5.