SOLUTION: Write an equation of the line passing through the point (6,5) and perpendicular to the line whose equation is 2y+3x=6

Question 1034029: Write an equation of the line passing through the point (6,5) and perpendicular to the line whose equation is 2y+3x=6
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If we find the slope of
2y+3x=6
we can do that by solving for y...
2y = -3x + 6
y = (-3/2)x + 3
Since we want a perpendicular line, the slope we need is 2/3.
Now plug in to y = mx + b to find b...
5 = (2/3)(6) + b
5 = 4 + b
b = 1
so the line we want is
y = (2/3)x + 1
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