Locate the point on the line segment between A(3,-5) and B( 13,-15) given that the point is 4/5 of the way from 'A to B. Show youe Gork.

Q: What is the families of the curve of all straight lines through the fixed point (h,k).

A: The differential equation representing the families of curve of all straight lines through the fixed…

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: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t…

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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: Which equation represents a line that is parallel to 2y = 6x - 4 and passes through the point (-1,…

A: as per bartleby guidelines we are supposed to solve only one question

Q: Is there a value for k that would make the line between the points (k,2) and (3,8) horizontal? If so…

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Q: Find the distance from the point s(1,-6,2)to the line x = 2 + 3t, y = -4 + t,z = –2t Ans >>d=1.79

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Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: For the line 2x + 3y = 6, find a line parallel to it containingthe point 11, - 12. Also find a line…

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Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

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

A: Given points are  x1,y1=1,-1x2,y2=2,-2

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 exact distance between the points (4, - 1) and (10, 3).

A: To find the exact distance between the points 4,-1 and 10,3. Solution: Distance formula states that…

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t,…

A: The distance of a point P from a line passing through the point Q and parallel to the vector v→ is…

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: 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: Give the equation of the line passing through the point (– 3, – 9) that is parallel to y =

A: We will find the equation of the line.

Q: The distance of the line 7x + y –5 = 0 from the origin is?

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Q: write down the equation of the pair of straight lines joining the origin to the points of…

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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 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: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

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: / ife refresents the Segment of the line from Z-2 toZ-zi Kt frave Withouet finding the Kilke of the…

A: In both parts we can use the formula ∫Cf(z)dz≤ML where M is the upper bound of |f ( z )| over C and…

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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

A: To find  The distance from the point to the given line.

Q: What is the midpoint of the line segment? Drag the coordinates to the boxes to correctly match the…

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Q: What is the distance between the line with Cartesian equation x-6 = y-7 = z and the line with…

A: Parallel lines have the same direction ratios.

Q: Find x so that the distance between (-2, 3) and (x, 1) is Ï29.

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Q: If line r has the equation y = - 2 what is the equation of line r given that line rwas dilated by a…

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Q: Find the distance between the points (1,1) and (3,9) along the line y=4x-3

A: Since the points (1,1) and (3,9) lie on the line, so the distance between the points along the line…

Q: Evaluate ryz ds, where C is the line segment from (3, 0, 1) to (0, 2, 5).

A: Given function is ∫Cxyz ds Given points are r1=3,0,1 and r2=0,2,5 We can write the given points in…

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

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: What is the distance between the line with Cartesian equation x-4=y-4=z and the line with Cartesian…

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Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

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Q: 1. For the points (3, - 7) and (- 1, 2), find the distance d between the points and the midpoint M…

A: According to our guidlines we can solve only first question 1. Given point 3,-7 and  -1,2To find:…

Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

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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: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

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Q: The midpoint of the line segment between P1 (x,y) and P2 (-2,4) is Pm (2,-1). Find the coordinates…

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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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Q: Find the distance between the points given. (1, 2)аnd (13, 7) (8, 15)and (-7, 23) (-15,–18)and (3,…

A: A line is generally an object in geometry that doesn't bend i.e. it has no curve. It is a collection…

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

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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.