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  1. The Linear Algebra Calculator is designed to help you handle linear algebra problems. With an intuitive interface, you can quickly solve problems, check your solutions, and deepen your understanding of linear algebra concepts.

  2. Provide the coordinates of the specific point through which the new line (parallel or perpendicular) should pass. Select your desired line orientation: whether you want a line that's parallel or one that's perpendicular to the given line.

  3. This calculator will find the equation of a line (in the slope-intercept, point-slope, and general forms) given two points or the slope and one point, with steps shown. Related calculators: Slope Calculator, Parallel and Perpendicular Line Calculator

  4. 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.

  5. Applying the Pythagorean theorem, the square of the distance from the point S to an arbitrary point on the line is given by the function: f(t) = t2 + t2 + (1 + t)2 = 3t2 + 2t + 1. Now to find the minimum distance, we simply take a derivative and set it equal to zero.

  6. The distance between a point and a line, is defined as the shortest distance between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point.

  7. Free perpendicular line calculator - find the equation of a perpendicular line step-by-step