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sergij07 [2.7K]
3 years ago
8

Write an equation for a line

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0
k: y = mx + b
l: y = nx + c
l\ \perp\ k\ \iff\ m\cdot n = -1
We have:
k:\ f(x)=5x-8\\\\l:\ g(x)=mx+b\\\\l\ \perp\ k\iff 5m=-1\ \ \ |:5\to m=-\dfrac{1}{5}

therefore
l:\ y=-\dfrac{1}{5}x+b
The line passing through the point (5; 10).
Substitute the values of the coordinates of the point
(5;\ 10)\to x=5;\ y=10\\\\10=-\dfrac{1}{5}\cdot5+b\\\\10=-1+b\ \ \ \ |+1\\\\b=11
Answer:\ \boxed{y=-\dfrac{1}{5}x+11}
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