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Perpendicular equation: x+2y = 0

Point of intersection: (2, -1)

Perpendicular distance: square root of 5

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Q: What is the perpendicular distance from the point 4 -2 to the straight line of 2x -y -5 equals 0?
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What is the perpendicular distance from the point of 7 5 to the straight line whose equation is 3x plus 4y minus 16 equals 0?

Straight line equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Point of intersection: (4, 1) Distance: (7-4)2+(5-1)2 = 25 and the square root of this is the perpendicular distance which is 5 units of measurement


What is the perpendicular distance from the point 7 and 5 to the straight line equation of 3x plus 4y minus 16 equals 0?

Straight line equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Point: (7, 5) Equations intersect: (4, 1) Perpendicular distance: square root of [(7-4)2+(5-1)2] = 5


What is the definition of distance from point to line?

It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.


What is the perpendicular distance from the point 2 4 to the straight line of y equals 2x plus 10?

Straight line equation: y = 2x+10 Perpendicular equation: y = -1/2x+5 They intersect at: (-2, 6) Length of perpendicular2: (2--2)2+(4-6)2 = 20 and the square root of this is 4.472135955 Therefore distance is 4.472135955 units in length


How does midpoint and distance formula fit into the big picture of math?

The mid-point is needed when the perpendicular bisector equation of a straight line is required. The distance formula is used when the length of a line is required.

Related questions

The shortest distance form a point to a straight line is?

Its perpendicular distance.


What is the perpendicular distance from the point of 2 4 to the straight line of y equals 2x plus 10 on the Cartesian plane?

The perpendicular distance from (2, 4) to the equation works out as the square root of 20 or 2 times the square root of 5


What is the perpendicular distance from the point of 7 5 to the straight line whose equation is 3x plus 4y minus 16 equals 0?

Straight line equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Point of intersection: (4, 1) Distance: (7-4)2+(5-1)2 = 25 and the square root of this is the perpendicular distance which is 5 units of measurement


What is the perpendicular ditance from the point 7 5 to the line 3x plus 4y -16 equals 0?

If you mean the perpendicular distance from the coordinate of (7, 5) to the straight line 3x+4y-16 = 0 then it works out as 5 units.


What is the perpendicular distance from the point 7 and 5 to the straight line equation of 3x plus 4y minus 16 equals 0?

Straight line equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Point: (7, 5) Equations intersect: (4, 1) Perpendicular distance: square root of [(7-4)2+(5-1)2] = 5


What is the perpendicular distance from the point 2 4 to the straight line equation of y equals 2x plus 10 on the Cartesian plane?

It works out as: 2 times the square root of 5


What is the definition of distance from point to line?

It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.


What is the perpendicular distance from the point 2 4 to the straight line of y equals 2x plus 10?

Straight line equation: y = 2x+10 Perpendicular equation: y = -1/2x+5 They intersect at: (-2, 6) Length of perpendicular2: (2--2)2+(4-6)2 = 20 and the square root of this is 4.472135955 Therefore distance is 4.472135955 units in length


What is a characteristic of a perpendicular bisector?

Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.


How does midpoint and distance formula fit into the big picture of math?

The mid-point is needed when the perpendicular bisector equation of a straight line is required. The distance formula is used when the length of a line is required.


Which of these is equal to the distance from a point to a line?

the length of a perpendicular segment from the point to the line


What is the perpendicular distance from the point of 2 4 on the Cartesian plane to the straight line equation of y equals 2x plus 10 showing key stages of work?

1 Equation: y = 2x+10 2 Perpendicular equation works out as: 2y = -x+10 3 Point of intersection: (-2, 6) 4 Distance is the square root of: (-2-2)2+(6-4)2 = 2 times sq rt of 5