a. Write the equation in slope-intercept form if possible, and determine the slope and y -interc

step 1 Hello, so here we have the equation, negative 2x is equal to 3y. So softness for y, this means w

A. Write the equation in slope-intercept form if possible,...

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Key Concepts

Y-intercept

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, the value of b is the y-intercept, representing the value of y when x equals zero.

Graphing Linear Equations

Graphing a linear equation involves plotting the y-intercept first and then using the slope to determine another point on the line. Once two points are identified, a straight line can be drawn through them to represent the equation visually.

Slope

The slope is a measure of the steepness or incline of a line. In the slope-intercept form, it is denoted by m and indicates how much y increases (or decreases) for each unit increase in x. A positive slope means the line rises, while a negative slope means it falls.

Slope-Intercept Form

This form of a linear equation is written as y = mx + b, where m represents the slope and b represents the y-intercept. It provides a straightforward way to identify key characteristics of a line and to graph it by showing how y changes with respect to x.

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