Determine the slope and the y-intercept of the line. y=2+3 x...

Name: Problem 9, Chapter 2: Intermediate Algebra
Uploaded: 2020-06-17T06:43:37-08:00
Duration: 25 s
Channel: Ankit Gupta
Description: Determine the slope and the y-intercept of the line. y=2+3 x

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Key Concepts

Slope-Intercept Form

The slope-intercept form is a way to express a linear equation as y = mx + b, where m represents the slope and b represents the y-intercept. This format makes it straightforward to identify key characteristics of the line, such as its steepness and where it crosses the y-axis.

Slope

The slope of a line is a measure of its steepness and direction. It is defined as the ratio of the vertical change to the horizontal change between any two points on the line. In algebraic expressions, the slope is typically represented by the coefficient of the variable term when the equation of the line is written in slope-intercept form.

Y-Intercept

The y-intercept of a line is the point where the line crosses the y-axis. This occurs when the value of the variable x is zero. In the slope-intercept form of a linear equation, the y-intercept is represented by the constant term, indicating the starting position of the line on the vertical axis.

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