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Use complete sentences to briefly explain how one may use the standard form of a linear equation to determine its slope.

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Final answer:

To determine the slope of a linear equation in standard form, rearrange the equation to slope-intercept form and divide the coefficient of x by the coefficient of y.

Step-by-step explanation:

The standard form of a linear equation is given by Ax + By = C, where A, B, and C are constants. To determine the slope of the equation, we can rearrange the equation to the slope-intercept form, y = mx + b, where m represents the slope. We can find the slope by dividing the coefficient of x by the coefficient of y. For example, if the equation is 2x + 3y = 6, the slope would be -2/3.

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