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Definition--Linear Function Concepts--The Equation of a Line From Two Coordinates

The Equation of a Line From Two Coordinates

 

The Equation of a Line From Two Coordinates

 

Topic

Linear Functions

Definition

The equation of a line from two coordinates can be determined by finding the slope between the two points and using it in the point-slope form of a linear equation.

Description

Finding the equation of a line from two coordinates is a fundamental skill in algebra. It involves calculating the slope between the two points and then using one of the points to form the equation in point-slope or slope-intercept form.

In real-world applications, this method is used in fields such as physics and engineering to model linear relationships when specific data points are known. For example, it can be used to determine the trajectory of an object in motion.

In education, understanding how to find the equation of a line from two coordinates helps students grasp the concept of slope and its importance in defining linear relationships. It reinforces the connection between algebraic equations and their graphical representations.

For a complete collection of terms related to linear functions and equations click on this link: Linear Functions and Equations Collection

Common Core Standards CCSS.MATH.CONTENT.8.SP.A.1, CCSS.MATH.CONTENT.HSA.SSE.A.1.A
Grade Range 6 - 9
Curriculum Nodes Algebra
    • Linear Functions and Equations
        • Point-Slope Form
Copyright Year 2021
Keywords linear functions, definitions, glossary term