Find the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x + 11.8 O y = -0.3x - 11.8 O y = 2.0x + 2.8 O y = -0.3x + 11.8

Q: Find the intersection of the lines r(t)=⟨1−2t,13+6t,9+8t⟩r(t)=⟨1−2t,13+6t,9+8t⟩ and…

A: Points are:-

Q: Find the equation of the line that passes through the point (-1, 3) and is parallel to the line 5x –…

A: Two parallel lines have the same slope.   The slope-intercept form of a line is given by:…

Q: What is the slope of the line through the points P(–5, –6) and Q(–12, 5)?

A: solution:-Given points are P(–5, –6) and Q(–12, 5)slope between two points (x1, y1) and x2 , y2 is…

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Which 2 points are on the line (x.y) = (-1,4) + k(7,1). kER Select one: O -1,4), (7, 1) O (-8, 3),…

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Q: C. Find the midpoint of the line segment joining the two points. n 1. (0,0), (-8, 14 2. (1, 3), (3,…

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Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

Q: Find the equation of the line that contains the points P 1(-4, -4) and P 2(2, -6). 1 16 A. y=-x-: 3…

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Q: Plot the line containing the two points. From left to right, is the line g down or neither? (a)…

A: According to Bartleby q&a guidelines I will attempt only first 3 questions

Q: Find the distance between the given pair of points. (a) (1, 3), (5, 6) (b) (-2, 0), (3, 12) (c) (0,…

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Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3,…

A: Answer

Q: 3-Find the coordinates of the point on the line y= 3x+i. that is equidistance from (0,0) and (-3,4)…

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Q: Determine the intersection of the lines: L,: ==4 and L2: x = y -1 = z

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Q: .C(-1,2,1), B(0,1,0), Thereis a straight line passing through the points (1-, 1,0) 4 A(1,0, - 1)…

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Q: Find the intersection point of the two lines: [x, y] = [1, 2] + t[2, -1] and [x, y] = [0, 3] + t[3,…

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Q: 4. Find an equation for the line segment between P(3, -8,0) and Q(-1, 4, 2).

A: Our aim is to find the equation of line.

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: fc xy2 ds, C is the line segment from (0,3) to (4,6)

A:

Q: Find the question of the line passing through the points A(-1, 5) and B(5, 4)

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Q: Find the point of intersection of the lines r(t) = (1, 0, 0) + t(-7, 3, 0) and s(t) = (0, 1, 1) +…

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Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Determine the midpoint of the line segment between A and B shown below: 2 -3 -2 -1 1 2 3 -1 -2 - -3…

A: It can be observed that the point A is and the point B is . According to the Midpoint formula, the…

Q: Q2. Find the line that passes through the point(3,4)and the point of intersection of the lines x + y…

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Q: Find an equation of the line determined by the points P(1, 2, 3), Q(2,0, 1)

A: Please refer to the image below

Q: Given a line with slope of 5 and y-intercept of -1, which order pairs given below would NOT be on…

A:

Q: points

A: Please refer to the image below

Q: Determine the value of x so that line { will be parallel to line m. 1/2 3 /4 5/6 7/8 me1 = + as) 45…

A: Given- m∠1=x2+45° and m∠5=3x4° To Find- The value of x so that the line l and m are parallel to…

Q: Let r1(t)=⟨3,−6,−16⟩+t⟨0,−4,−4⟩ and r2(s)=⟨−9,2,−20⟩+s⟨−4,0,−4⟩. Find the point of intersection, P,…

A: We need to find point of intersection.

Q: For what value of x the line joining A (4, 1, 2), B(5, x, 0) is perpendicular to the line joining…

A: We can find the value of x using the direction cosines of the two lines

Q: Find the distance between each pair of points: c) (-5, 2) and (7, – 3) d) (x – 3, y + 2) and (x, y –…

A: The given points are 6,4 and  6,-3.

Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

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Q: What is the general equation of a line given the points P(1,3) and Q(4,7)? O 4x-3y+5=0. O 4x+5y+3=0…

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Q: Scalar line integrals Evaluate the following line integral along the curve C.

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Q: Find the line y = a + bx which best approximates the data points y = (-4, 59), (-3,49), (-2, 38),…

A: We have to find the best fitted curve from the given data.

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given:  where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…

Q: Determine x so that 2 is the slope of the line through the points  P(2,5) and Q(x,3)

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Q: Find the equation of the line L that passes throught point P(3, 8, - 1) and Q( – 7, – 5, 8). | r(t)…

A: Given points:              P(3, 8,-1) and Q(-7,-5, 8) Let p¯ and q¯ be the position vectors of P and…

Q: Find the line that passes through the point P(1.2) and the point of intersection of two lines x +2y…

A: Find the equation of a line that passes through the point P(1,2) and the point of intersection of…

Q: -3 -8 -2 -1- -2 -3-

A: From the given figure, the endpoints are -3, 4, -8, -3

Q: .C(-1,2,1), B(0,1,0), A(1,0,–1) There is a straight line passing through the points

A: Here it is asked to show a straight line passes through three points A(1,0,-1), B(0,1,0), C(-1,2,1).…

Q: given a line with slope of -1 and y intercept of 8, which of the ordered pairs given below would Not…

A: Given : Slope  =-1y - intercept = 8

Q: Find the point of intersection of the lines r;(t) = (-1, 1) + t(8, 4) and rɔ(s) = (2, 1) + s(8, 6)…

A: Consider the given lines in polar form. To find the intersection points equate the x and y…

Q: Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

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Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

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Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: Find the line that passes through the point P(1,2) and-the point of intersection of two lines x +2y…

A: Co ordinate Geometry Question

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.