Determine whether the points lie on a straight line. (a) A(2, 4, 1), B(3, 8, –1), C(1, 2, 2) Yes, they do lie on a straight line. No, they do not. (b) D(0, -5, 5), E(1, -2, 3), F(3, 4, -1) Yes, they do lie on a straight line. No, they do not.

Q: . Find the distance of point C(0,-1,2) from the line passing through points A(-2,2,4) and B(1,2,3).

A: Here we will find out the required value of distance.

Q: P(-2,-3,-2), P2(4,–1,2), P:(10,1,6) is there a straight line that passes through the points?

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Q: Which two pairs of points lie on perpendicular lines? A. The points (0-2), (1,7) and (-2,0), (7,1).…

A: When two lines are perpendicular lines, then multiplication of slope of these lines must be -1.

Q: What is the equation of a line that is parallel to the line that goes through the points (2,0) and…

A: we have to find the equation of line that is parallel to the line that passes through the points…

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: Determine the number a so that the line passing through the points (a - 1, 4) and (-2,6) is parallel…

A: Known fact: The slope of line joining two points x1,y1  and  x2,y2 is given by m=y2-y1x2-x1.

Q: e point of intersection of the lines [4 0] and

A: As per our guideline we are supposed to answer only one question. Here question 8. answered.

Q: r₁(t) = (14,3, 11) + t (−4, −1, −3) r₂(t) = (0.5, 4, −11) + t (1, 2, −4) Find the point of…

A: Given: Equations of lines:r1(t)=14,3,11+t-4,-1,-3r2(t)=0.5,4,-11+t1,2,-4

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: Which of the following is the point of intersection between the lines 2x + y = 7  and  x  - y = 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: r1(t)=⟨14,−5,12⟩+t⟨2,0,2⟩ r2(t)=⟨13,−5,1⟩+t⟨−2,0,3⟩ Find the point of intersection, P, of the…

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Q: The line containing the points (6, y) and (8, =2) is perpendicular to the line containing the points…

A: The line containing the points (6,y) and (8,-2) is perpendicular to the line containing the…

Q: 3. a) Determine whether or not the point R(-3, 4, -2) lies on the line i = [0,20,4]+t[1,4,–2].

A: Given

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

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Q: True or False: (a) The lines y = 2x - 3 and y = -2x - 3 are perpendicular (b) The lines y = 2/5x +…

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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: 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 distance between points (-2, 3) and (4, -1).

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Q: Which two pairs of points lie on perpendicular lines? A. The points (0,-2), (1,7) and (-2,0), (7,1).…

A: We will find the slope and then check if the lines are perpendicular.

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 the distance between the point and the line. Point      Line (8, 1)   −3x + 4y = −5

A: Use formula of distance of point from line

Q: 2 9- -2 2 4 -2 -4 -6 What is the equation of a line that is perpendicular to the line shown and goes…

A: Two point formula of slope x1,y1 and x2,y2  m = y2-y1x2-x1 When lines are perpendicular then product…

Q: Determine the number a so that the line passing through the points (a - 1, 4) and (-2, 6) is…

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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: 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: Which two pairs of points lie on perpendicular lines? O The points (0, -2), (1, 7) and (-2, 0), (7,…

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Q: Find the x- and y-intercepts of the line. y = -4x - 6 x-intercept (x, y) = y-intercept (x, y) =

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Q: 2) Prove whether lines y, and y, are parallel, perpendicular, or neither. Use complete sentences and…

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Q: Find the equation of the straight line passing through the points Q (4, 3) and R (5, 8)

A: Given : the points Q (4, 3) and R (5, 8)To find : the equation of the straight line passing…

Q: Which two pairs of points lie on perpendicular lines? * O The points (0, - 2), (1, 7) and (- 2, 0),…

A: NOTE: Refresh your page if you can't see any equations. . lines are perpendicular when the product…

Q: ri(t) = (4.5, 6.5, 7.5) + t (1, 1, 1) r2(t) = (-9,5, 18)+ t (4,0, –4) Find the point of…

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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: Which equation represents a line that goes through the points (0, 1) and (1, 0)? y = -(x + 1) y = 1…

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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: The point R(-2,a,-1) is the midpoint of the line segment joining the points P(1,2,b) and Q(c,-8,4)…

A: Given that R-2,a,-1 is the midpoint of the line segment joining the points P1,2,b and Qc,-8,4. We…

Q: 10. Plot the points (-1, 3) and (4, 3). What would be the remaining two points of a rectangle whose…

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Q: Do the given points lie on a straight line? а. (1, -1), (-1, -5), (2,1) b. (-2, 2), (5, -8), (-7, 9)

A: The slope of the line between the points x0, y0, x1, y1 is y1-y0x1-x0. Calculate the slope of the…

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

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Q: Find the point of intersection of the lines: x + 3 = -7 =(z-5) and r= + t. 3

A: The given equation of lines are: L1:x+3=y-73=12(z-5)=sL2:<2,4,5>+t<1,-2,-4>

Q: Which of the points. (7, 23, 0) and (1.-1, -3) lie on the line represented by the equation:

A: Any point that lies on the line will always satisfy the equation of line.

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: Find the value of k so that the line containing the points (-7,6) and (-2, k) is perpendicular to…

A: Given,           The line containing the points -7,6 and -2,k is perpendicular to the line…

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: Find the value of k so that the line containing the points (k, 1) and (1, 4) is perpendicular to the…

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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