Question

Which expression can be used to determine the slope of the linear function represented in the table?

Answer 1

Your answer is the first option, (9 - 5)/(4 - 0).
This is because the formula to finding the slope of a line is (y2 - y1)/(x2 - x1), and the first option has the two y coordinates subtracting and the two x coordinates subtracting.
I hope this helps!

Answer 2

A.
`(9-5)/(4-0)`

Explanation:

We know that,

The slope of the points
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

`Slope=(y_2-y_1)/(x_2-x_1)`.

Now, from the table, the ordered pairs of the form (x,y) are (0,5) and (4,9)

Thus, the slope of these points is given by,

`Slope=(9-5)/(4-0)`

Hence, option A is correct.