Graph each of the equations. y=x-4

Name: Problem 27, Chapter 7: Intermediate Algebra
Uploaded: 2022-03-16T22:53:13-08:00
Duration: 29 s
Channel: James Kiss
Description: Graph each of the equations. y=x-4

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Key Concepts

Slope

The slope of a linear equation quantifies the steepness or inclination of the line and is defined as the ratio of the vertical change to the horizontal change between any two points on the line. It indicates whether the line ascends, descends, or remains horizontal.

Graphing a Line in a Coordinate Plane

Graphing a line on a coordinate plane involves plotting points that satisfy the equation and drawing a straight line through these points. Often, one starts by marking the y-intercept and then using the slope to determine additional points, ensuring the accurate representation of the linear relationship.

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. This type of equation represents a straight line when graphed in a coordinate plane, showcasing a constant rate of change.

Slope-Intercept Form

The slope-intercept form of a linear equation, typically written as y = mx + b, clearly displays the slope (m) and the y-intercept (b) of a line. This form is particularly useful for quickly identifying the line’s steepness and the point where it crosses the y-axis.

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