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Algebra 1 Lesson 3.1 Flashcards

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Questions and Answers

What is the definition of a linear equation?

An equation that forms a circle when it is graphed.

An equation that forms a curve when graphed.

An equation with no solutions.

An equation that forms a line when it is graphed. (correct)

What is the standard form of a linear equation?

Ax + By = C

What does the constant represent in a linear equation?

What is an x-intercept?

<p>The point at which the graph of the equation crosses the x-axis.</p> Signup and view all the answers

What is a y-intercept?

<p>The point at which the graph of the equation crosses the y-axis.</p> Signup and view all the answers

Study Notes

Linear Equations

A linear equation represents a relationship that results in a straight line when graphed.
The general form of a linear equation is expressed as Ax + By = C.

Standard Form

Standard form of a linear equation is represented as Ax + By = C.
A, B, and C are constants, with A and B not simultaneously equal to zero.

Constants

In the context of a linear equation, C represents the constant term.
Constants are fixed values that do not change and help determine the position of the line on the graph.

x-Intercept

The x-intercept indicates where the graph intersects the x-axis.
This point is characterized by the coordinates (x, 0), where the value of y is zero.

y-Intercept

The y-intercept shows where the graph intersects the y-axis.
This point is characterized by the coordinates (0, y), where the value of x is zero.

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Description

Dive into the concepts of linear equations with these flashcards from Algebra 1 Lesson 3.1. Each card provides key terms and definitions that will help reinforce your understanding of graphing and intercepts. Ideal for students preparing for exams or reviewing critical math concepts.