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Slope-intercept form is y = mx + b where m = slope and b = y intercept

You need to get equation in slope-intercept form:

3x + 4y = 12

4y = 12 - 3x

y = 3 - 3/4 x

y = -3/4 x + 3

That means m = slope = -3/4

Parallel lines have the same slope, so the other line also has a slope of -3/4

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Q: What is the slope of the line that is parallel to line represented by the equation 3x plus 4y equals 12?
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