To find the equation of the line passing through the points $(-5, 1)$ and $(3, 1)$, let's proceed step by step:

Step 1: Determine the slope

The slope $m$ of the line is calculated using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substitute $(x_1, y_1) = (-5, 1)$ and $(x_2, y_2) = (3, 1)$: $m = \frac{1 - 1}{3 - (-5)} = \frac{0}{8} = 0$

Step 2: Identify the nature of the line

Since the slope is $0$, this indicates a horizontal line. For horizontal lines, the $y$-value remains constant.

Step 3: Write the equation

The $y$-coordinate for both points is $1$, so the equation of the line is: $y = 1$

Final Answer:

The equation of the line in simplified form is: $y = 1$

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Would you like to see additional details or discuss horizontal and vertical lines? Here are 5 related questions to explore:

1. How do you find