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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.
Test your understanding of Linear equations, functions, & graphs with these NaN questions. Start test. This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting ...
1. Determine the equation of the line passing through A(6, 5) and perpendicular to the line y = 2x + 3. 2. Solve the system of equations. 3. Calculate the distance between the points. Calculate the shortest distance between the point G(-4, 4) and the line y = 3x - 4.
The distance between the point and the line is the length of the perpendicular drawn from the point to the line. Learn the formula, derivation, and examples.
Find the point of intersection of the two lines by solving the systems of two equations. 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.
Learn how to find the perpendicular distance of a point from a line easily with a formula. For the formula to work, the line must be written in the general form.
