Which relationship has a zero slope?

Answer:The first relationship has a zero slopeStep-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 = [tex]\frac{y2-y1}{x2-x1}[/tex] 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: [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{2-2}{-1-(-3)}[/tex] = 02. The line reflecting the second relationship crosses two points (x1 = -3; y1 = 3) and (x2 = -1; y2 = 1)=> Slope of the second relationship is: [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{1-3}{-1-(-3)}[/tex] = -13. The line reflecting the third relationship crosses two points (x1 = 0; y1 = 0) and (x2 = 1; y2 = 1)=> Slope of the third relationship is: [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{1-0}{1-0}[/tex] = 14. The line reflecting the third relationship crosses two points (x1 = -2; y1 = 0) and (x2 = -2; y2 = 1)=> Slope of the third relationship is: [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{1-0}{-2-(-2)}[/tex] = 1/0 => This line does not have slope