Method 5: Use a One-Step Formula

There is a formula that will give you the distance from a point to a line!


In order to use the formula, we'll need the equation of the line in the form ax + by + c = 0
Our original line was y=2x+4 ;
it rearranges to 2x - y + 4 = 0

The point is (4, 1)

The formula that gives the distance between
a point (m, n) and a line ax + by + c = 0 is:

   

Using a = 2, b = -1, c = 4, and m = 4, n = 1



Method 5 gives an answer of 4.92 for the distance from point (4, 1) to the line y=2x+4



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