Ohio Educators Math Exam Practice 2025 – Complete Prep Guide

Question: 1 / 400

How is the point-slope form of a line expressed?

y = mx + b

y - y₁ = m(x - x₁)

The point-slope form of a line is expressed as y - y₁ = m(x - x₁), where (x₁, y₁) represents a specific point on the line, and m represents the slope of the line. This format is particularly useful for writing the equation of a line when you know one point on the line and the slope.

In this form, the expression y - y₁ signifies the vertical distance from the known point (x₁, y₁) to any point (x, y) on the line. The right side, m(x - x₁), describes how the line's slope m changes horizontally from the point (x₁, y₁). Thus, this form directly relates any point on the line to a known point and provides a clear relationship between x and y based on the slope.

Understanding this concept is essential for graphing lines or for determining the equation of a line given a point and a slope, making this form particularly versatile and widely used in algebra and coordinate geometry.

Get further explanation with Examzify DeepDiveBeta

Ax + By = C

x/x₁ + y/y₁ = 1

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