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  1. 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.

  2. Distance from a point to a line - Exercises 3.A line has y-intercept Y and x-intercept X. Find the shortest distance from the point P to the line where X, Y and P are given below.

  3. Distance From a Point to a Line. Find the distance between the point with the given coordinates. and the line with the given equation. 1. ("1, 5), 3x. ".

  4. 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.

  5. 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.

  6. Question 5: Calculate the shortest distances between the following lines and points. (a) The line and the point (3, 3) (b) The line and the point (−1, −4)

  7. Question 1: Calculate the perimeter of triangle ABC. Question 2: The distance between the points (1, 2) and (16, p) is 17. Find the possible values of p. Question 3: The distance between the points (−3, −4) and (q, 5) is 15. Find the possible values of q.

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