a. Put the equation in slope-intercept form by solving for y . b. Identify the slope and the y -

step 1 For this problem for the first part, they ask us to rewrite the equation in slope intercept form

A. Put the equation in slope-intercept form by solving for y...

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Key Concepts

Slope-Intercept Form

This is a way of writing a linear equation in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. It allows you to quickly see the properties of the line and facilitates graphing directly from the equation.

Slope

The slope is a measure of the steepness of a line, defined as the ratio of the change in y to the change in x. It indicates how much y increases or decreases for a one-unit increase in x and determines the line's direction.

Y-Intercept

The y-intercept is the point where the line crosses the y-axis (i.e., where x = 0). It is represented by the constant b in the slope-intercept form and provides a starting point for graphing the line.

Graphing Linear Equations

Graphing a linear equation involves plotting the y-intercept on the graph and using the slope to determine the line's direction. From the y-intercept, you move according to the slope to find additional points, then draw the line through these points.

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