Find the point of intersection of the lines: x + 3 = -7 =(z-5) and r= <2, 4,5> + t<1, -2, -4>. 3

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: Which equation represents a line that is parallel to 2y = 6x - 4 and passes through the point (-1,…

A: as per bartleby guidelines we are supposed to solve only one question

Q: find equation of a line passing through 2 points of intersection of two lines 3x-2y equal -8 and…

A: find equation of a line passing through 2 points of intersection of two lines 3x-2y equal -8 and…

Q: Find the point of intersection of the lines: y = 6x -4 and y = -3x 1 ㅇ(용-3) ㅇ(1.-2) ㅇ (-1.0) °(-.-6)

A: We know the equation for straight line is ax+by+c=0…

Q: What is the equation of the line that is perpendicular to the line y = -- -(x-18) and intersects the…

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Q: Find the distance between the lines 3x+y-12=0 and 3x+y-4=0

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Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: What is an equation of the line that passes through the point (8, –7) and is parallel to the line x…

A: Solution:

Q: 2) What is equation of the line through the points (-4,0) and (2,3)

A: The points on the line are given by x1, y1 = -4, 0 x2, y2 = 2, 3 Formula Used:   y-y1 =…

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: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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Q: Find the distance from the point (-2,2,-1) to the line a(t) = (- 2, 3, 2)t + (8, 0, - 7).

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Q: What is an equation of the line that passes through the point (1,3) and is perpendicular to the line…

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Q: prove that the equation 2x2+3xy-2y2-x+3y-1=0 represents a pair of perpendicular lines

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Q: 2 What is the equation of the line perpendicular to y– 3=-(x+3) and has an x-intercept of 6? A 2…

A: topic - equation of a line perpendicular to given line and with x intercept

Q: Find the equation of the line that intersects the lines 2x + y – 1= 0 = x – 2y + 3z 3x – y + z + 2 =…

A: We have to find the equation of the line that intersects the given lines and parallel to the line…

Q: A new line is formed by drawing a perpendicular line froma point (- 2, 1) to a line y= 2z- 5. What…

A: Given equation of line y=2x-5   ------(1) To evaluate Point of intersection with a line passing…

Q: Find the point on the line 3x + y= 9 that Is closest to the point (-5, 1). (x, Y) - (

A: According to question given that Line 3x+y=9, closest to the point (-5,1)We have to calculate the…

Q: Find an equation of the line passing through the point (2,1) that is perpendicular to the line…

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Q: point on the line

A: I

Q: | xyz2 ds, C is the line segment from (-1, 5, 0) to (1, 6, 5)

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Q: Find the line LI passes through the point (-2,2) and perpendicular to the line L2: 2x +y-4.

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Q: Find the point of intersection, P, of the lines x - 3 y – 3 Z – 6 3 2 2 x – 2 y – 1 z – 7 - - - 4 4…

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Q: Find the equation of the line containing the point (3, 4) and parallel to the line 2x+ y=-3. 11 A. y…

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Q: Find the equation of the line that 1 is parallel to y =÷x - 4 and contains the point (4,5). y = x+[…

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Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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Q: point

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

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Q: What is the relationship between the lines L1 and L2? where L1:x = 1-t, y = 1+ 2t, z = 2-t L2:x =…

A: The given lines are:L1: x=1-t ; y=1+2t ; z=2-tL2: x=1+t ; y=1-t ; z=2-3t

Q: Find the equation of a line containing (4,-3) and perpendicular to the line x - 2y = 4

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Q: What is the value of such that the lines 3kx + 8y = 5 and 6y - 4kx = -1 are perpendicular and 3kx +…

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Q: Determine the equation of the line perpendicular to 2x-6y+1=0 and passing through (3,-1). O y+ 3x +…

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Q: Find the point on the line 2x + y = 5 that is closest to the point (-4, 3). (x, v) = (

A: We haveThe line 2x+y=5 closest to the point −4,3

Q: Find the equation of the line containing (-6, 6) which is parallel to the line 1 3. 1 y%3D 입-9 1 y =…

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Q: Find the distance between the pair of parallel lines Y=-x-9 Y=-x-7

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Q: Find the line L passes through the point (-2,2) and perpendicular to the line L`: 2x +y = 4.

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Find the distance between the two parallel lines 4x-3y - 9 = 0 and 4x - 3y - 24 = 0.

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Q: Find the slope and y-intercept (0,b) of the line containing points (4,8) and (8,-4). slope=…

A: Given query is to find the slope and y intercept for the line passing through (4,8) and (8,-4).

Q: Find an equation of line L. (1, 3) х (-3, –1),

A: We find the slope of the blue line first For that, we find the slope between (-3,-1) and (1,3) So…

Q: The line through the points (a, 3) and (4, -1) is perpendicular to the line y = 2x +3. Determine the…

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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 the point on the line 2x + y = 9 that is closest to the point (-4, 3). (x, y) =

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Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line 3y=7-4x…

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Q: How do I find the equation of a line perpendicular to 2x-3y=5 and passing through (3,-3)?

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Q: Give an example of a pair of lines that intersect at the point (2, 1).

A: To find equation of two lines which intersect at (2,1) (i.e) point of intersection (x,y)=(2,1) Lines…

Q: nd the point of intersection of the lines: = 4x + 1 and y = -2x + 4 1,2) 1,2) 2,9) ,3)

A: All points of intersection satisfy both curve(lines) .  Hence , for point of intersection  We equate…

Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.…

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