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Find the minimum distance between the point (− 2, − 2) and the line y = 1 3 x + 2 . Enter an exact answer with a square root.
The distance from a point to a line is the shortest distance between the point and any point on the line. This can be done with a variety of tools like slope-intercept form and the Pythagorean Theorem. Created by Sal Khan.
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The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line.
The distance between point and line is the shortest distance between the point and the straight line. Consider a line BF and a point A as shown in the diagram below. We can draw an infinite number of line segments from the line to the point A.
Find the length of the line segment by using the point of intersection from step 3 to the given point. The following diagram gives the steps to find the shortest distance between a point and a line. Scroll down the page for more examples and solutions.
Calculate the shortest distance between the point A(6, 5) and the line y= 2x+ 3. The shortest distance is the line segment connecting the point and the line such that the segment is perpendicular to the line.
