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Write an equation of the line containing the given point and parallel to the given line.

​(6​,−3​); 8x−9y=4

2 answers

parallel lines have the same slope
8x−9y=4 has slope m = 8/9
so, using the point-slope form, the line with that slope through (6,-3) is
y+3 = 8/9 (x-6)
or ...
Since parallel, the 2 line equations differ only in the constant, so ...
8x - 9y = c , ..... just plug in the point (6,-3)
48 + 27 = c = 75

8x - 9y = 75
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