Find the distance from the point M (-1,2) to the straight line 3x + y + 2 = 0.
| June 1, 2021 | education
The distance d from the point M (x0, y0) to the straight line given by the equation Ax + By + C = 0 can be calculated by the formula
d = (A * x0 + B * y0 + C) / √ (A ^ 2 + B ^ 2).
Then the distance from the point M (-1,2) to the straight line 3x + y + 2 = 0 is equal to
d = (3 * (-1) + 1 * 2 + 2) / √ (3 ^ 2 + 1 ^ 2) = 1 / √ (10) ≈ 0.316.
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