Prove that the line through the point (x1, y1) and parallel to the line Ax + By + C = 0 is A (x –x1) + B (y – y1) = 0.

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TextConditions for Parallel Lines Using Slopes

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In the given graph ABCD is a parallelogram. Using the graph, answer the following:

Find equation of the line parallel to the line 3x – 4y + 2 = 0 and passing through the point (–2, 3).

TextConditions for Parallel Lines Using Slopes

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.