Shortest line from origin to line y=1-6x

Related BrainMass Solutions

• Shortest Length of Line Intersection

  So, the shortest possible length of the line segment PQ is and , or , Hope it helps. This shows how to find the shortest possible length of a segment from a parabola to an intersection with the normal line.

• Ellipsoid/canonical form

  longest and shortest distances from origin to an ellipsoid, the principal axes, and an orthogonal transformation.

• Linear Relationships, Slope and Intercept

  Line 1 passes through the points (-5, 4) and (3, -7). Line 2 is parallel to line 1 and passes through the origin. Find the equation of line 2. 3. Identify the slope and intercept of the following line: 6x - 2.5y = 20 1.

• Graphing Equations, Inequalities and Absolute Values

  Graph 6x + 7y < - 16 First graph line 6x + 7y = -16 X-intercept: y-intercept: . Connect the two points to show the line 6x + 7y = -16 "test a point" to find the solution to the inequality.

• Vectors

  This shows how to show the shortest distance from origin to a given line

• Functions and equations

  Thus, the solution to should be at the same side of the line as the origin. Repeat the same procedure for , we also find the solution to is at the same side of the line as the origin.

• differential equation

  (Can you also try to do this using the disc method to see if it works both ways.) The curves intersect when (only one real solution). The sketch of the region bounded is given by The limits of integration: x runs from 0 to 1.

• Linear Programming

  First label the two boundary lines x + y = 5 and 6x - 3y = 12. (1) Obviously, one of the four corner points is the origin O (0, 0). (2) Point A: The corner point A is the x-intercept of boundary line 6x - 3y = 12.

• interval notation

  Equation of line with 1 and passing through the points (-3, 8) will be y - 8 = 1(x -(-3)) y - 8 = x + 3 y = x + 11 Answer: y = x + 11 b) What is the shortest distance from the point (-3,8) to the line 3x+3y=33?