The given points are $(-5, 1)$ and $(3, 1)$. Noticing that both points have the same $y$-coordinate of $1$, the line is horizontal.

Equation of a Horizontal Line

For a horizontal line, the equation is simply $y = c$, where $c$ is the constant $y$-value of the points.

Thus, the equation of the line is: $y = 1$

Since this is already in its simplest form, no further simplification is needed.

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Do you have any questions or would like me to explore another aspect of this?

Related Questions

1. What is the slope of a horizontal line and why?
2. How do you derive the equation of a line given two points?
3. How is the point-slope form of a line defined for lines with non-zero slopes?
4. Can the slope of a horizontal line ever change? Why or why not?
5. How would you write the equation of a vertical line through $(-5, 1)$?

Tip

Horizontal lines always have a slope of $0$, and their equations are of the form $y = \text{constant}$.