Is there a straight line that passes through the points? P, (2,0,1), P2(3, –2,0), P3(1,2,2)

Q: A straight line passes through points A (3,8) and B (-3,4). What is the y-intercept of this line?

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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: A line passes through the points (3, 5) and (2, 0).

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Q: a straight line passes through two points (-2,3) and (1,6) the eqaution of the line is

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Q: The three points (3,-5), (-a+2,3), and (2a+3,2) lie on the same line. What is a?

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Q: How do you know that the points (4,7), (-1,-8), and (0,-5) lie on a straight line?

A: First find the line passing through (4,7) & (-1,-8) which is:…

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: 7. What is the equation of the line that passes through the coordinates (-1, -2) and (3, 10)?…

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

Q: A line passes through points (-2, - 1) and (4, 3). Where does the line intersect the x-axis? the…

A: Given:-2,-1 and 4,3Slope:m=y2-y1x2-x1

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

A: The given line is  (x,y,z)=(2,-1,5)+n(1,2,-1) compare  with general equation of line in a space

Q: Plot the given points in a coordinate plane.

A: We have to plot the points in the coordinate plane, the points are of the form x1,y1=0,5 ,…

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

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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: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: Find the point where the two lines +s and +t intersect, if it exists

A: We need to find point where lines intersect.

Q: ). (2, 3 , (2, – 5). Give the equation of the line passing through the points ( 2, The equation of…

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Q: Is there a straight line that passes through the points? P; (2,0,1), P2(3,–2,0), P3(1,2,2)

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Q: If the line passing through the points (a,1) and (-12,7) is parallel to the line passing through the…

A: Let the parallel lines be as shown in figure. for parallel lines the slope will be equal. for line…

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: Find the midpoint of the line segment joining the two points. (0, -4, 1), (6, 4, 9) (х, у, 2) %3

A: Find the mid point

Q: 6. Find the point-slope form of the line passing through the points (-3,4) and (3,–7).

A: We will find the equation of line in point-slope form as following.

Q: he points P1(2, 0, 1), P2(3, - 2,- 3), P3(4, - 6, - 5) lie on the same line.

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Q: Find the midpoint of the line segment joining the two points. (3, 0, 9), (-1, -4, 5) (х, у, 2) %3

A: Find the mid point

Q: What is the general equation of a line given the points P-(1,3) and Q=(4,7)?

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Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: Find the distance dP1, P2 between the given points P1 and P2.   P1=(6,3) P2=(−2,4)

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

A: We know that distance between two points x1,y1,z1 and x2,y2,z2 is defined as x2-x12+y2-y12+z2-z12

Q: Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

A: To Find the y-intercept (b) of a straight line that passes through the points (3,6); (2,4).

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: Find the equation of a line that passes through points (2, 3) and (5, 6).   As with all answers,…

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Q: Find the midpoint of the line segment whose end points are given. (8, 8) and (5, -4) .2) O (13, 4) O…

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Q: B. Find the distance between the two points. 1. (2,-1), (2, 3) 2. (-5,-2), (0, -2) 3. (0, 6), (4, 9)…

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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: find the distance between the point A=(2,0,-1) and B=(4,5,-2)

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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: The line passing through the points (- 2, 2) and (2, 2) is;

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Q: Find a point which is equidistant from the points A (-5, 4) and B (-1, 6).how many such points are…

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Q: determine the distance between the points A(2,3) & B(-4,6)

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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: Find k so that the line containing the points (-3,k) and (6,12) is parallel to the line containing…

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Q: What is the slope of the line that’s passes through the points (3,5) and (-1,5)?

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Q: 6. The midpoint between the points A(-2,-3,1) and B(6,9, –3) is (b) (2,3, –1). (c) (-4, –6,2). (a)…

A: Midpoint of line joining (x1,y1,z1) and (x2,y2,z2) is  (x1+x22,y1+y22,z1+z22)

Q: The straight line L1 that passes through the points P1 (2, 8) and P2 (7, 5), and the straight line…

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Q: . Let P(2, –3, 6) and P2(2,2, -4). Find the coordinates of the point P on the line segment with PP =…

A: Given Data: The coordinates of point P1 is: P1x1, y1, z1=P12 -3, 6 The coordinates of point P2 is:…

Q: A. Find the length and midpoint of the line segments given their endpoints. 1. (-3, 10) and (7, 2)…

A: As we know that; The expression for the length or distance between two points Px1,y1 & Qx2,y2…

Q: Find the midpoint between the two points. 17. (1,1), (5,5) 19. (3,0), (5,-4) 21. (0,-5), (3,-2

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Q: The equation of straight line passing through the points P1(3,-3)and p2(5,7) is: *

A: P1 (3,-3) P2 (5,7)

Q: Determine whether the points lie on a straight line: A(2,4,2), B(3,7,-2), C(1,3,3)

A: Given, The points  A(2,4,2),  B(3,7,-2)  and  C(1,3,3)   We have to find whether the points lie on a…

Q: The line passing through (1, 0, 4) and (4, 1, 2)

A: Given points are (1, 0, 4) and (4, 1, 2). Equation of a line passing through 2 points x0,y0,z0 and…

Q: 6. What is the equation of the line joining the points (3, 4) and (-2, 5)?

A: Given point  (3, 4) and (-2, 5)  General equation of line passing through two point (X1, Y1 ) and…