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

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: How find the pistance from fant (1,3) and Line y -4

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Q: Perpendicular to the line y=−1/2x+1 containing the point (3,6)

A: Solution is done in step 2

Q: Find the points of intersection of the line y = 5 x with the curve y = 3 x + x^2

A: In order to find the point of intersection of given line line and curve , we must find values where…

Q: Find the point on the line 5x + y = 5 that is closest to the point  (−4, 1).   x,y= (  , )

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Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

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Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

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

A: Consider the provided question, (21) First find the intersection point of the two lines,

Q: Find an equation of the line containing the point (4,5) and parallel to the line 2x+5y=-3

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Q: What is an equation of the line that passes through the point (8, –7) and is parallel to the line x…

A: Solution:

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

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 thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y…

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2  Slope of the given line is -12.…

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

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

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 from the point (3, 9) to the line y = 2x.

A: To find the distance from the point (3, 9) to the line y = 2x.Observe that the slope of the given…

Q: What is an equation of the line that passes through the point (1,3) and is perpendicular to the line…

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Q: Find the distance from the point (0, 0, 0) to the line x = 5 + 3t, y = 5 + 4t, z = -3 – 5t.

A: Find the distance.

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

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Q: Find the distance from the point (4, 21) to the line y = 5x

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Q: find the distance from the point to the line. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

A: We have to find distance from the point 2,1,-1 to the line x=2t, y=1+2t, z=2t

Q: Find the distance between the line 3x − y = 0 and the point (2, −4).

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Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

A: Equation of given line is,y=2x+1, comparing it with standard equation of line in slope intercept…

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

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

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Q: The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y.

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

A:

Q: Find | xz ds, where C is the line segment from (0,0,-6) to (-5,5,-7)

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Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

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 (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

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Q: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

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Q: Find the distance from the point (2, 1, 3) to the line x = 2 + 2t, y = 1 + 6t, z = 3

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Find the distance between the point (2, 9) and the line y = 3x + 4

A: Find the distance between the point (2, 9) and the line y = 3x + 4 To find the distance between a…

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

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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 from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: point

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Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

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