1Cademy - Finding the Equation of a Horizontal Line Through $$(-3, 8)$$

Example

Finding the Equation of a Horizontal Line Through $(-3, 8)$

To formulate the equation of a horizontal line passing through the point $(-3, 8)$ , use the point-slope procedure.

Step 1 — Identify the slope and point: A horizontal line always has a slope of $0$ , so $m = 0$ . The given point is $(x_1, y_1) = (-3, 8)$ .

Step 2 — Substitute into the point-slope form $y - y_1 = m(x - x_1)$ : $y - 8 = 0(x - (-3))$

Step 3 — Simplify: Multiplying the right side by zero eliminates the expression: $y - 8 = 0$ $y = 8$

The final equation is $y = 8$ , affirming that a horizontal line invariably takes the form $y = b$ .

Updated 2026-05-25

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References

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