Why is the point-slope form useful if you want to write the equation of a line through a point that is parallel to a given line.

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2016-04-18 20:28:34

The point slope form of a line is: point (a,b) slope: m equation: (y - b) / (x - a) = m => y - b = m (x - a) Where m is the slope of the parallel line. You need to know that parallel lines have the same slope, so m is the slope of both lines. These are equivalent forms of the equation searched and both are valid answers: y - b = m (x - a) y = m (x - a) + b

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