Which relationship has a zero slope?

The relationship which has a zero slope is the first relationship.

A relationship with zero slope is one in which case, changing values of the independent variable does not effect a change in the dependent variable.

In the first relationship, the values of y remains constant and as such , the relationship has zero slope.

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The first relationship has a zero slope

Step-by-step explanation:

Each line crosses two point A(x1; y1); B(x2; y2)

We have the formula to calculate the slope of a straight line is:

Slope =

1. The line reflecting the first relationship crosses two points (x1 = -3; y1 = 2) and (x2 = -1; y2 = 2)

=> Slope of the first relationship is: = = 0

2. The line reflecting the second relationship crosses two points (x1 = -3; y1 = 3) and (x2 = -1; y2 = 1)

=> Slope of the second relationship is: = = -1

3. The line reflecting the third relationship crosses two points (x1 = 0; y1 = 0) and (x2 = 1; y2 = 1)

=> Slope of the third relationship is: = = 1

4. The line reflecting the third relationship crosses two points (x1 = -2; y1 = 0) and (x2 = -2; y2 = 1)

=> Slope of the third relationship is: = = 1/0

=> This line does not have slope