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Reduce the equation 4x + 3y + 20 = 0 to the normal form and find the distance of the line from the origin
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There is a remarkable formula to calculate the distance from a given point to a given straight line in a coordinate plane.
Let the straight line in a coordinate plane is defined in terms of its linear equation
a*x + b*y + c = 0,
where "a", "b" and "c" are real numbers, and let P = (,) be the point in the coordinate plane.
Then the distance from the point P to the straight line is equal to
d = .
Regarding this formula, see the lesson
The distance from a point to a straight line in a coordinate plane
in this site.
Your straight line is 4x + 3y + 20 = 0.
Substitute the given data a= 4, b= 3, c= 20, = 0, = 0 into the formula to get the distance under the question
= = = 4. ANSWER.
Answer. The distance from the line to the origin is 4 units.
Solved.