Answer:
The slope of the line passing through the points (-3,5) and (21,5) is 0
Step-by-step explanation:
The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is calculated as:
![\begin{gathered} \text{Slope = }(y_2-y_1)/(x_2-x_1) \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4k2ca7cxwhp77giie0zet5n2nlip8gddtd.png)
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
![\begin{gathered} \text{Slope = }(5-5)/(21-(-3)) \\ \text{Slope = 0} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/la8pynx12n9m4lxmuiksfqnx6d7q4k575z.png)
Therefore, the slope of the line passing through the points (-3,5) and (21,5) is 0