SOLUTION: through (5,-3), parallel to {{{y=-(2/5)x+1}}}

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Question 769745: through (5,-3), parallel to y=-%282%2F5%29x%2B1
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
y=-%282%2F5%29x%2B1
y=highlight%28-%282%2F5%29%29x%2B1 --> The highlighted region represents the gradient, m of the line.
The gradients of two parallel lines are the same.
y-y%5B1%5D=m%28x-x%5B1%5D%29
where,
m = gradient
Substitute x%5B1%5D=5, y%5B1%5D=-3 and m=-2%2F5 into y-y%5B1%5D=m%28x-x%5B1%5D%29.
y-%28-3%29=%28-2%2F5%29%28x-5%29
y%2B3=%28-2%2F5%29x%2B10%2F5
y%2B3=%28-2%2F5%29x%2B2
y=%28-2%2F5%29x%2B2-3
y=%28-2%2F5%29x-1