Explain why the lines below are parallel. l: (x, y, z) = (2, 3, 4) + n(1, 2, - 3) and (2: (x, y, z) = %3! (3, 7,- 2) + r(-1,-2, 3)

Q: Line A passes through points (2, 4) and (-4,6). Which equation is an equation of a line parallel to…

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Q: et L1 be the line that passes through (2, 1,0) in the direction of (1, -1,2) and L2 be the line that…

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Q: which is an equation of the line through the points ( 1, -3 ) (2, 4) A. y-7=x B. -7x+y=-10 C.…

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Q: . Find the equation of the line joining the points (4, 9) and (-1, 0)

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Q: If A is (1, -5) and B is (9, 11), find the point that is % of the way from A to B. О а. (-5, 6) O b.…

A: We have A=1,-5, B=9,11 Now, we need to find a point which is 3/4 of the way from A to B We see that…

Q: Find the intercepts 3x-4y 12 O(0,3)(4,0) (0,-3)(4, 0) (0, 4)(3,0) O(0, 4)(-3, 0) OO O

A: Solving the problem by finding the intercept.

Q: (2) Is there a line that passes through the points p3(3,0,1);P1(4,-1,-1), P2(2,1,3),

A: We have to determine whether there is a line passing through these three points.

Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: a. { (5, -3 ), ( -5, 0 ), ( 5, 8 ), ( 3, 2) } b. { (2,0 ), (4, 6), ( - 3, 6 ) , (5, 9 )}

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Q: Line 2: (-3,4) and (6,-2) (6) Line 1: (-3,2) and (3,-2)

A: Here we have to find the slope and their relation

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: Find the intersection point (if any) of the lines ri (t) = (9,33,–15) + t(-3,-4,2) and r2(s) = (-90,…

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Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

Q: Which set of ordered pairs (�,�)(x,y) could represent a linear function? A=   {(−6,0),  (−3,3),…

A: The given set of ordered pairs,We have to find the set of ordered pairs that represent the linear…

Q: A point R(3, k) lies on the straight line joining P(4, 10) and Q(1, -2). Find the value of k.

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Q: Which set of ordered pairs (�,�)(x,y) could represent a linear function? A=   {(−8,9),  (−3,4),…

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Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: How would i determine whether the three points are collinear?   (0,-7), (-3,-21), (2,3)

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Q: he points (0,3),(-2,-7),(-6,-27),(6,33),(4,23),(-1,-2) were plotted on the coordinate plane. What…

A: The data points in the order xi, yi are given as:  (0,3), (-2, -7), (-6, -27), (6,33), (4,23),…

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: b. Determine the equation of the line perpendicular to y =-2x + 5 that goes through the point (4,…

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Q: A line contains the points (6, −3) and (3, 3). Find the coordinates of three other points on the…

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Q: Find an equation for the line that goes through (5,-1) and (10,-3).

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Given (2,11),  (4,18),  (10,28), what is the intercept? The data are given as (x,y).

A: The formula of intercept is,