Asked by John Doe
                Write an equation of the line containing the given point and parallel to the given line.
(6,−3); 8x−9y=4
            
            
        (6,−3); 8x−9y=4
Answers
                    Answered by
            oobleck
            
    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)
    
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)
                    Answered by
            mathhelper
            
    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
    
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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