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Method 5: Use a One-Step Formula
In order to use the formula, we'll need the equation of the line in the form ax + by + c = 0Our 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 |