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

Q: he equation of the line passing through the point (1 (1, 1, 1) +t(0, 1,2) B. (1,1,1) +t(0,2, 2)…

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Q: Which point(s) lie on the line (x, y, z) = (2, – 1, 5) + n(1, 2, – 1)? a) (1, – 3, 4) b) (5, 5, 2)

A: Given: equation of line x,y,z=2,-1,5+n1,2,-1 For finding which point lie on given equation of line,…

Q: e 5y=-6x +

A: we have to find the equation of line that is perpendicular to the line 5y=-6x + 2.

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: If the line passing through the points (a, 1) and (−14, 9) is parallel to the line passing through…

A: The given points are

Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

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Q: What is the y-intercept of the line that passes through the points (2, 5) and (3, 6)? O A. (0,-7) о…

A: we know that equation of line which passes through two given points x1,y1, x2,y2 is given by…

Q: Three points that are all on a line are?

A: Collinear.  If three points lie on the same line, then those three points are said to be collinear.

Q: 5. What is the equation of the line joining the points (-8, 0) and (-1, 3)? Oy=7/3 x+ 56/3 Oy=7/3 x-…

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Q: Which table identifies points on the line defined by the equation 2y- 6z =2? -5 -14 -3 O A -8 4. 10…

A: Given,  The equation of the line  2y-6x = 2 We have to identify the table whose points lies on the…

Q: (x, y, z) if the midpoint of the line segment joining the two points (x, y, z) and (-8, 6, 7) is (5,…

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Q: Show that the line koining the points A(2,3, – 1) and B (3,5, — 3),C(1,2,3) аnd (3,5.7)

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

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: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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Q: 9. Determine if these lines are parallel lines, perpendicular lines, or neither. L: 5x-2y= 6 L :…

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Q: Let P = (4, 3, –3) and Q = (7, 8, 8). Find the coordinates of the following. The point on the line…

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Q: 9. Determine the point of intersection of the following two lines: L₁: (x, y, z) = (1, 2, 1) + t(3,…

A: Find value of parametric by equating L1  and L2.

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

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Q: #19.) as which of the following points lies on the line x=2€, A(2,4,27 BC-2,2,17 C(4,5,2) D(6,6,2)…

A: 19.The parametric equation of the line x=2t, y=3+t, z=1+t

Q: -20 -15 -10 10 15 20 What is the length of line segment EF?

A: This is the simple problem based on number system where we find the distance between two points as:…

Q: If b = C+ Dt is the best straight line that fits the points (-2,5), (-1,4), (1,3), and (2,2) then O…

A: Tabulate the given ordered pairs as follows, x y -2 5 -1 4 1 3 2 2 The formula for the…

Q: Determine whether the lines L1 and L2 passing through the pairs of points are parallel,…

A: We know that two lines are parallel if their slopes are equal. Also, two lines are perpendicular to…

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

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: Which one of the following points lies on the line x = -(t + 6), y = (- (6 t)) – 4, z = 2 t – 4? о…

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Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

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Q: 3. Which of the following points would not lie on the line y=7? (1) (-2,7) (3) (0, 7) (2) (7,-1) (4)…

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Q: Determine whether the points lie on a straight line. D(0,-5,5)   E(1,-2,4)   F(3,4,2)

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Q: Show that the line joining the points A (2,3,-1) and B(3,5,-3) ,C(1,2,3) and D(3,5,7)

A: Explanation of the solution is given below...

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: . If h is a horizontal line passing through (1,8) and l2 is a vertical line passing through (-3,4),…

A: Horizontal line passing through point (1,8) is y=8 Vertical line passing through point (-3,4) is…

Q: (2) 3. Determine the equation of the line through the points (2,3) and (5,1).

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Q: Show that the points A = (2, 5), B = (6, 1), and C = (8, - 1) lie on a line by using slopes.

A: The slope of a line is determined using any two distinct points on the line. The slope is calculated…

Q: of . Which line described below is h the points (7,-3) and (2,6) h the points (9,6) and ( 12, 8) h…

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Q: 6. Find the intersection point of the two lines: [x, y] = [1, 2] + [2, –1] and [x, y] = [0, 3] +…

A: As per our guideline we will solve first one for you. If you want other question to be solved, then…

Q: (2) Is there a straight line that passes through the points, if any? * P(1,3,0), P2(0,2, – 1),…

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Q: Is the line that contains the points (8, 5) and (5, 8) parallel to the line that contains the points…

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Q: Which point(s) lie on the line (x, y, z) = (2, 1, – 3) + r(3, 2,–4)? a) (2, 1,- 3) b) (8, 5,- 11)

A: The vector (x,y,z)=(2,1,-3)+r(3,2,-4)

Q: The graph of the linear equation z = y asses through the point: o (8.3, 8.3) о (8.3, —8.3) о (0,…

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Q: The line which best fits the points (1, 2), (-1,0), (2,2), and (3,1) is given by: 7 7 35 11* 11 35…

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Q: -) Determine the intersection of the lines: L,: 5 ==4 and L2: x=y -1 = z

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Q: Line t contains the points (2, 2) and (0, -3). Which of the following points would create a line…

A: When two lines are parallel, slope of the two lines will be same.

Q: 2. Find the equations of the straight lines that pass throúgh the following'sets of points: 21 (2;…

A: 2. Explanation: Given that two points and we need to find the equation of the line.     Formula…

Q: Let l: = = -: - 5 and p = (1,7, -4) + A(1, -2, 2) be two lines in space.

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Q: Determine whether or not the line through the points A(0, –4, 2) and B(5, –1, 0) is perpendicular to…

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