Question

Im usually really good at this lol but i keep getting this wrong i feel like im bugging pls hell

Answer 1

0

Explanation:

Answer 2

Answer: 0

Explanation: The y value does not change, so we have a rate of change of 0.

A slightly more lengthy explanation involves picking two points from this table. Each point is a different row.

Let's say we go with (5,-1) and (6,-1) as the two points.

Use them in the slope formula.

`(x_1,y_1) = (5,-1) \text{ and } (x_2,y_2) = (6,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (-1 - (-1))/(6 - 5)\\\\m = (-1 + 1)/(6 - 5)\\\\m = (0)/(1)\\\\m = 0\\\\`

The slope is 0, so the rate of change is 0.

The line through the given points in the table is a flat horizontal line. All horizontal lines have slope 0.

Side note: in the slope formula, we can have 0 in the numerator. But we can never have 0 in the denominator (since division by zero is undefined).