Find the equation of the line:
y = mx+b
y - y1 = m (x - x1)
point (x1, y1)
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Perp. to 5x - 6y = 18
rearranging to form y = mx+b
5x - 6y = 18
6y= -5x - 18
y = -5/6 - 3
m1= -5/6
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Perpendicular lines
m1 * m2 = -1
-5/6* m2 = -1
m2= 6/5
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Replacing
m=
point = (10,7)
y - y1 = m (x - x1)
y - 7 = 6/5 (x - 10)
y = 6/5 x - 12 +7
y = 6/5 x -5
The equation of the line: through (10,7) perp. to 5x - 6y = 18 is y = 6/5 x -5