Question

Which relationship has a zero slope

Answer 1

The first one, a flat line across the x axis is no slope

Answer 2

Answer:

The first table.

Step-by-step explanation:

A slope of 0 means that as x increases, y stays the same.  In the first table, all of our y-values are 2; this means that y stays constant.  

To prove it, we use our formula for slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of the line between the first two points is

(2-2)/(-3--1) = 0/-2 = 0

The slope of the line between the second pair of points is

(2-2)/(-1-1) = 0/-2 = 0

The slope of the line between the next pair of points is

(2-2)/(1-3) = 0/-2 = 0

Since the slope between each pair of points is 0, the slope of the entire line is 0.