SOLUTION: Write an equation of the line that passes through (5,6) and is parallel to 3x- 4y=10

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Question 769216: Write an equation of the line that passes through (5,6) and is parallel to 3x- 4y=10
Found 2 solutions by Cromlix, Jc0110:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
3x - 4y = 10
Sort into y = mx + c
-4y = -3x + 10
4y = 3x - 10
Gradient (Slope) = 3
Lines that are parallel have the same gradient.
Using equation:
y - b = m(x - a)
a = 5, b = 6 and m (gradient) = 3
y - 6 = 3(x - 5)
y - 6 = 3x - 15
y = 3x - 15 + 6
y = 3x - 9
Hope this helps.
:-)

Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
3x-4y=10
-4y=-3x%2B10
%28-4y%29%2F-4=%28-3x%29%2F-4%2B10%2F-4
y=%283%2F4%29x-5%2F2
Gradients, m of the parallel lines are the same.
m%5B1%5D=m%5B2%5D
m%5B2%5D=3%2F4
y=mx%2Bc ... Substitute x=5, y=6 and m=3%2F4 into y=mx%2Bc.
6=%283%2F4%29%285%29%2Bc
c=9%2F4 ... Substitute m=3%2F4 and c=9%2F4 into y=mx%2Bc.
y=%283%2F4%29x%2B9%2F4
4y=3x%2B9