1Cademy - Finding the Equation of a Horizontal Line Through $$(-1, 4)$$

Example

Finding the Equation of a Horizontal Line Through $(-1, 4)$

To determine the equation of a horizontal line that contains the point $(-1, 4)$ , apply the point-slope method.

Step 1 — Identify the components: The slope of any horizontal line is $m = 0$ , and the specific point is $(x_1, y_1) = (-1, 4)$ .

Step 2 — Substitute into the point-slope form $y - y_1 = m(x - x_1)$ : $y - 4 = 0(x - (-1))$

Step 3 — Simplify: Expanding and multiplying by zero yields: $y - 4 = 0$ $y = 4$

The final equation of the line is $y = 4$ .

Updated 2026-05-25

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