Find the distance of the line 4x + 7y+ 5 = 0 from the point (1, 2) along the line 2x - y= 0.

Q: What equation is perpendicular to the line y = -2x + 3 through the point (0,2)?

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Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: Find an equation of the line passing through the point(1,6) that is parallel to the line y=5/9x+7

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Q: Find the distance between the lines 3x+y-12=0 and 3x+y-4=0

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Q: Find an equation for the line with the given properties.Perpendicular to the line x = 3; containing…

A: We have to find the equation

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: How Find the pistance from fant(,3). and Line y -4

A: on solving that we get d=1

Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

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Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: Find the equation of the line tangent to the curve (x-2)^2=-4(y+3) at (2,-3)

A: Given data:     The expression for the equation of the curve is: (x-2)2=-4(y+3). The given point is:…

Q: Find the equation that is parallel to the line with equation x+y = 4 and passes through the point…

A:

Q: Find the'equation of the line that is perpendicular to y = -2x + 1 and contains the point (8, 2). =…

A: We are given the line y = -2x+1. And the slope of the above line is -2. So, the slope of the line…

Q: Find the distance between the point (-4, -3) and (0, 0)

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Q: Find the slope and y-intercept of the line through the point (5,9) that cuts off the le slope = %3D

A: let slope of the line is = m  The equation of line passing through the point (5,9) and having slope…

Q: Find the distance between the points (-3,0) and (3,1)

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Q: The distance from the point (2,1) to the line  4x-3y+5=0 is

A:

Q: Find the equation of the line passing through the point (4,-1) and perpendicular to the line whose…

A: Given,         The equation of the line passing through the point 4,-1 and perpendicular to the line…

Q: Find the distance between two lines ()1=4-x , y;=- (x+2).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: point on the line

A: I

Q: | xyz2 ds, C is the line segment from (-1, 5, 0) to (1, 6, 5)

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Q: Find the line LI passes through the point (-2,2) and perpendicular to the line L2: 2x +y-4.

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Q: Find the equation of the line that contains the points (-4, 2) and (2, 1). Express the equation in…

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Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

Q: Find the equation of the line that 1 is parallel to y =÷x - 4 and contains the point (4,5). y = x+[…

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Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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Q: Find the distance of the point (6, – 3) from the line 2x – y+4=0.

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Q: Line Tengent to X-2 y= X + 6 at point (-4,-3)

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Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: With center on the line y = 2x – 13 and tangent to the line y = - 3x + 57 at (16, 9)

A:

Q: + y = 9 that is closest to the point (−5,

A: The line is: 6x+y=9 Point (-5,3)

Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 2).  (x,y)=

A:

Q: Find the distance from the point (-2,2,-1) to the line ä(t) = (- 2,3, 2)t + (8,0, – 7).

A: the given point is (-2, 2, -1) the line equation is a→(t) = <-2, 3, 2>t + <8, 0, -7>

Q: Find the point on the line 3x+y=9 that is closest to the point (-4,1). (X,y)=?

A: Closest point is (x, y) =(2, 3)

Q: Find 1x²z ds, where C is the line segment C from (0,-3,-5) to (2,1,-5)

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Q: Find the distance between the two parallel lines 4x-3y - 9 = 0 and 4x - 3y - 24 = 0.

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Q: Find the distance between the points (-1,2) and (1,-1)

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Q: parallel to -2x+3y=7 and passing through the point (6,4)

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Q: Find the distance from the point (2, 2, 3) to the line passing through (0, 0, 0) and (1, 1, 0)

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Q: What is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)?…

A:

Q: Find the distance between the line x + y + 2 = 0 and the point (1, 1).

A: The distance between the line ax+by+c=0 and the point x1,y1 is given as below. d=ax1+by1+ca2+b2

Q: Find the distance between the two points (-5, 4) and (3, 8).

A:

Q: tion represents a line which is parallel to the line 2x + y

A: The given line is  2x+y=-8y=-2x-8 comparing with y=mx + c, therefore the slope is -2

Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

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Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

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Q: Line perpendicular to x -2y=3 and containing (-3,1)

A: The given line

Q: What is the slope interecept form of the line that passes through the point (4,7) and is parallel to…

A: Given : To determine the equation of a line in slope-intercept form that passes through the point…

Q: Find the equation of the line (in slope intercept form) containing the point (8, 2) that is…

A: Given that a line containing the point 8,2 and the line is perpendicular to the line y=2x-7. Find…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.