The slope of the line passing through the points (-3,5) and (21,5) is 0
Explanation:The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is calculated as:
[tex]\begin{gathered} \text{Slope = }\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}[/tex]For the line passimng through the points (-3,5) and (21,5):
Substitute x₁ = -3, y₁ = 5, x₂ = 21, y₂ = 5 into the slope formula above
[tex]\begin{gathered} \text{Slope = }\frac{5-5}{21-(-3)} \\ \text{Slope = 0} \end{gathered}[/tex]Therefore, the slope of the line passing through the points (-3,5) and (21,5) is 0