Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What does the Two Point Form of a line use to find the slope?

(x₁, y₁) and (x₂, y₂)
(m and b)
(x, y) and (0, b)
(A and B)

The correct answer is: (x₁, y₁) and (x₂, y₂)

The Two Point Form of a line utilizes two specific points on the line, represented as (x₁, y₁) and (x₂, y₂), to calculate the slope. The formula for slope (m) is derived from these coordinates and is given by the difference in the y-values divided by the difference in the x-values, expressed mathematically as: m = (y₂ - y₁) / (x₂ - x₁) This formula shows how steep the line is by comparing how much y changes as x changes between these two points. Understanding the application of these coordinates is crucial for determining the slope accurately, which is a foundational concept in algebra and coordinate geometry. The other choices, while related to different concepts in equations of lines, do not directly provide the method to find the slope between two points on the line.