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