Question

Which relationship has a zero slope?

Answer 1

Answer:

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 = $\frac{y2-y1}{x2-x1}$

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: $\frac{y2-y1}{x2-x1}$ = $\frac{2-2}{-1-(-3)}$ = 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: $\frac{y2-y1}{x2-x1}$ = $\frac{1-3}{-1-(-3)}$ = -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: $\frac{y2-y1}{x2-x1}$ = $\frac{1-0}{1-0}$ = 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: $\frac{y2-y1}{x2-x1}$ = $\frac{1-0}{-2-(-2)}$ = 1/0

=> This line does not have slope