For the equation 3x - 4y = 12 written in standard form Ax + By = C, what is the slope of the line?

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Multiple Choice

For the equation 3x - 4y = 12 written in standard form Ax + By = C, what is the slope of the line?

Explanation:
In Ax + By = C, the slope is -A/B. For 3x - 4y = 12, think of it as A = 3 and B = -4, so the slope is -A/B = -3/(-4) = 3/4. You can see this directly by solving for y: 3x - 4y = 12 leads to -4y = -3x + 12, then y = (3/4)x - 3, whose slope is the coefficient of x, 3/4.

In Ax + By = C, the slope is -A/B. For 3x - 4y = 12, think of it as A = 3 and B = -4, so the slope is -A/B = -3/(-4) = 3/4. You can see this directly by solving for y: 3x - 4y = 12 leads to -4y = -3x + 12, then y = (3/4)x - 3, whose slope is the coefficient of x, 3/4.

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