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  1. 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.

  2. 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.

  3. What is the length of the line? Choose 1 answer: 9. A. 9. 8. B. 8. 45. C. 45. 27. D. 27. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

  4. Distance between points in first quadrant. Bridget is excited to compete in a 10 -mile race. The race organizers plotted the course on a coordinate map. The starting point is at ( 4, 1) , and the ending point is at ( 4, 11) . Bridget's family decides to stand at ( 4, 4) on the map.

  5. 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.

  6. 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.

  7. We do not have currently have answer keys available for the practice problems. However, while the students are doing the practice problems, they can use the Hint feature for missed questions to view a step-by-step solution to the problem.