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What is a line perpendicular to a line segmentt and passing through its midpoint?
There is no name for it except "A line perpendicular to a line segment and passing through its midpoint".
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is the general form of a straight line equation perpendicular to 4x plus 3y minus 5 equals 0 passing through a point minus 2 and minus 3 on the line?
Equation of original line is 4x + 3y - 5 = 0 that is, 3y = -4x + 5 or y = -(4/3)x + 5 Slope of original line = -4/3 Slope of line perpendicular to it = 3/4 General equation of perpendicular line: y = (3/4)x + c for some constant c or 4y = 3x + c' The point (-2,-3) is on this line so 4*(-3) = 3*(-2) + c' -12 = - 6 + c' so that c' = -6 The equation of the perpendicular line is 4y = 3x - 6
Which line is perpendicular to 2x-8y plus 23 equals 0?
4x + y + c = 0 or, for a line going through a given point (xo, yo): y + 4x - (xo + yo) = 0 The gradient of a line multiplied by the gradient of a line perpendicular to it is -1; or in other words: The gradient of the perpendicular line is the negative reciprocal of the gradient of the line. Thus: 2x - 8y + 23 = 0 ⇒ 8y = 2x + 23 ⇒ y = 1/4x + 23/8 ⇒ gradient of perpendicular line is -1 ÷ 1/4 = -4 Thus the equation of the perpendicular line to 2x - 8y + 23 = 0 is 4x + y + c = 0. To find the line through point (xo, yo) perpendicular to 2x - 8y + 23 = 0, use the format: y - yo = m(x - xo) ⇒ y - yo = -4(x - xo) ⇒ y + 4x - (xo + yo) = 0
Is the line through points p0 9 and q2 -8 perpendicular to the line through points?
No, because the second line is not defined.
How do you write the equation of the line perpendicular to the line x equals 6 and passing through the point -4 5?
The line "x = 6" will be perpendicular to any line "y = C", where C is any constant. That means that the line which is perpendicular to "x=6" and passes through [-4, 5] will be "y = 5"
What is perpendicular to the line 3x plus y equals 2?
If a line has equation y = mx + c, the perpendicular line has gradient -1/m A line perpendicular to 3x + y = 2 has equation 3y = x + c; the value for c will be determined by a point through which the line must pass.
What is a line perpendicular to a line segmentt and passing through its midpoint?
There is no name for it except "A line perpendicular to a line segment and passing through its midpoint".
What is the perpendicular postulate?
The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the given line.
What is a perpendicular bisector of a line segment?
The perpendicular bisector of a line segment AB is the straight line perpendicular to AB through the midpoint of AB.
What are the difference between perpendicular lines and a perpendicular bisector?
A perpendicular bisector goes through the median of the line while a perpendicular line can be anywhere on the line as long as it is at a 90 degree angle.
Is a perpendicular bisector a type of concurrent line?
A perpendicular bisector is a line that cuts through another line at 90 degrees
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
The distance from a point C to the line AB is the length of the segment from C to AB?
That is correct. The distance from a point C to a line AB is the length of the perpendicular segment drawn from point C to line AB. This forms a right angle, creating a right triangle with the segment as the hypotenuse. The length of this perpendicular segment is the shortest distance from the point to the line.
What is the general form of a straight line equation perpendicular to 4x plus 3y minus 5 equals 0 passing through a point minus 2 and minus 3 on the line?
Equation of original line is 4x + 3y - 5 = 0 that is, 3y = -4x + 5 or y = -(4/3)x + 5 Slope of original line = -4/3 Slope of line perpendicular to it = 3/4 General equation of perpendicular line: y = (3/4)x + c for some constant c or 4y = 3x + c' The point (-2,-3) is on this line so 4*(-3) = 3*(-2) + c' -12 = - 6 + c' so that c' = -6 The equation of the perpendicular line is 4y = 3x - 6
What are perpendicular bisectors?
A line that is perpendicular to the segment of a plane and passes through the midpoint.
Lines c and d are perpendicular. If the slope of line c is -4, what is the slope of line d?
1/4
