Find x such that the line through (3, -2) and (4, 7) is perpendicular to the line through (-2, 3) and (x, -1). X =

Q: Find k so that the line through (4, -1) and (k, 2) is a. parallel to 2x + 3y = 6, b. perpendicular…

A: The line passes through the points (4, -1) and (k, 2). Then the slope (m) of this line is: m = [2 -…

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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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: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

A:

Q: 2. Find the distance between the point (3,-1,1) and the line going through the points (1,2,3) and…

A: In this question we will use basic of geometry i.e concept of line in 3d. We will simply find the…

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

Q: The slope of the line passing through the points (k, 1) and (5, -11) is perpendicular to the line 4x…

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Q: Find the y-intercept of line that is perpendicular to the line x=y-7 and passes through (0,8).

A: Given that: x=y-7 . We know that equation of y-intercept line is given by y=mx+b , where m= slope of…

Q: Find an equation of the line L that passes through the point -7 and 9 and satisfies the given…

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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 x such that the line through (2, - 3) and (3, 2) is perpendicular to the line through (- 2, 4)…

A: We have the points A(2,-3),B(3,2),C(-2,4) and D(x,-1) We have to find the value of x such that the…

Q: Find the slope-intercept form for the line satisfying the conditions. Passing through (- 3, – 25)…

A: Equation of line in slope intercept form is given by: y = mx+b

Q: Find the distance from the point to the given line x 1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

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Q: Find the slope of the line that is a) parallel to the line containing (a, 0) and (0, b). b)…

A: Given the points (a,0) and (0,b). We need to find the slope of the line: 1) parallel to the line…

Q: Find the point on the line y = x + 1 that is closest to the point (4, 1).

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

Q: Find an equation of the line that satisfies the given conditions.     Through (1,1); parallel to…

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: Find the slope and y-intercept of the line through the point (5,9) that cuts off the le slope = %3D

A: let slope of the line is = m  The equation of line passing through the point (5,9) and having slope…

Q: 4:x=1+21, y =-2+t, z=4-t 1, :x = 5–3s, y= 4- z = 2+

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Q: Find | x²z ds, where C is the line segment C from (0,-3,2) to (-3,-2,8)

A: Given C is the line segment from (0,-3,2) to (-3,-2,8) Now write the parametric equation for C…

Q: Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the…

A: Given: Ax+y-2=0 we know that slope of given line ax+by+c=0 is given by slope=-ab similarly, slope m1…

Q: Find the distance from the point (0, 0, 0) to the line x = 5 + 3t, y = 5 + 4t, z = -3 – 5t.

A: Find the distance.

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

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Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

A: Equation of given line is,y=2x+1, comparing it with standard equation of line in slope intercept…

Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

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Q: The slope of the curev y^2 -xy-3x = 1 at the point (0,-1) is

A: Given curve is: y2-xy-3x=1 ......................... (1) We have to find the slope of this curve at…

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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Q: Find the distance from the point to the given line x =1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

A: To find  The distance from the point to the given line.

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

A:

Q: Find equations of the lines that pass through the point (0, 4) and are (a) parallel toand (b)…

A: Given,         The equations of the lines that pass through the point 0,4 and the line 5x+2y=3.

Q: Find the distance between the points (1,1) and (3,9) along the line y=4x-3

A: Since the points (1,1) and (3,9) lie on the line, so the distance between the points along the line…

Q: Find an equation of the line that passes through the point (4, 5) and is perpendicular to the line…

A: Condition that two lines are perpendicular=m1m2=-1m1= Slope of first line m2= Slope of second…

Q: Find an equation of he line that satisfies the given conditions.      Through (-5,3); perpendicular…

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Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: Select all points on the line with a slope of -- that go through the point (4, -1). А. (-2, 2) В.…

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Q: 1. x* 2х at a — 2 |

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Q: Find an equation of the straight line that passes through the point  (5, 7)  and is parallel to the…

A: To Find an equation of the straight line that passes through the point  (5, 7)  and is parallel to…

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

A:

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

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 points (3, 8) and (-1, 11) and the slope of the line containing them.

A: We need to find the distance between (3, 8) and (-1, 11). Compute the distance between x1, y1, x2,…

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given:  where, C is the line segment from (-1,0) to (0,1) followed by the line segment from (0,1)…

Q: Determine whether there exists a constant c such that the line x + cy = -9 Has slope 2: Passes…

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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: 11. Find the equation of a line that is perpendicular to the line y =--x+5, passing through the…

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Q: Determine B such that the line 3x+2y-7=0 is perpendicular to 2x-By+2=0.

A:

Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A: ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1…

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…