Question

The table represents a linear function.

Answer 1

`( - 6 - - 16)/( - 2 - - 4)`
y2 - y1 / x2 - x1 = slope

Answer 2

The slope of the function is 5.

Explanation:

Remember that to calculate the slope of any function you just need the equation of the function on slope form: y=mx+c or any two points in the graph that are result of the function, in this case we have a table, and we will use the first two points:

(-4,-16)

(-2.-6)

So the formula for slope is:

`(y2-y1)/(x2-x1)`

We insert the values of our two points:

`(y2-y1)/(x2-x1) \\(-6-(-16))/(-2-(-4))\\(10)/(2)\\  Slope=5`

So the slope of the function is 5.