Linear Functions and Equations Quiz

Questions and Answers

What is a linear function?

A function with multiple variables

A function with a vertical graph

A function that forms a curve

A function whose graph is a line (correct)

What does a linear equation represent?

Linear functions

What is Y called?

Dependent variable

What is X called?

Independent variable Signup and view all the answers

What is the y-intercept?

Point at which the line crosses the y-axis Signup and view all the answers

What is the x-intercept?

Point at which the line crosses the x-axis Signup and view all the answers

What is the standard form of a linear equation?

Ax + By = C Signup and view all the answers

What is slope?

Ratio of the vertical change to a corresponding horizontal change Signup and view all the answers

What is point-slope form?

y - y1 = m(x - x1) Signup and view all the answers

What is slope-intercept form?

y = mx + b Signup and view all the answers

Study Notes

Linear Functions and Equations

A linear function is characterized by a graph that is a straight line.
A linear equation is an algebraic expression that represents linear functions.

Variables

The dependent variable is represented by Y, which changes based on the value of the independent variable.
The independent variable is denoted as X, which is the variable that can be controlled or changed.

Intercepts

The Y-intercept is the point where the graph of the function intersects the y-axis.
The X-intercept is the point at which the graph intersects the x-axis.

Standard Form

The standard form of a linear equation is expressed as Ax + By = C, where A, B, and C are real numbers, and A and B cannot both be zero.

Slope

The slope of a line is defined as the ratio of vertical change to horizontal change, illustrating how steep the line is.

Equation Forms

Point-slope form of a linear equation is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a specific point on the line.
Slope-intercept form of a linear equation is expressed as y = mx + b, where m is the slope and b is the Y-intercept.

Description

Test your knowledge on linear functions, equations, and their characteristics with this quiz. You will explore topics like variables, intercepts, standard form, and slope. Perfect for students learning about algebraic concepts!