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

Q: I need help with this question.

A: To find slope of the given line, we express it in a standard form, y = mx + c, we get:

Q: Find the distance between these two points: (1, -5) and (5, -1)

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Q: The equation of a line of passage to the point (3,3) and is parallel to the line y=1/2x+2 is?

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Q: 2. Find the equation of the line passing through the point (-2,5) and perpendicular to the line y-…

A: Slopes of perpendicular lines are opposite and reciprocals . So the slope of the perpendicular line…

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

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

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Q: What is an equation of the line that passes through the point (2, 2) and is parallel to the line x –…

A: Explanation of the answer is as follows

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

A: Solution:

Q: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

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

A:

Q: Give the equation of the line passing through the point (– 3, – 9) that is parallel to y =

A: We will find the equation of the line.

Q: The line parallel to y=-x-2, passing through the point (–4, 2).

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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: The distance from the point (2,1) to the line  4x-3y+5=0 is

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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 distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

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

A:

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: The line perpendicular to y=-x+1, passing through the point (–4, 2)

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

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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: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

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 x such that the line through (3, -2) and (4, 7) is perpendicular to the line through (-2, 3)…

A: A detailed solution is given below

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

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Q: Find an equation of the line that satisfies the given conditions. Through (-4, 3); perpendicular to…

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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: 1. x* 2х at a — 2 |

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

A: the given point is (-2, 2, -1) the line equation is a→(t) = <-2, 3, 2>t + <8, 0, -7>

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

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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: Find the equation of a line passing through the point (-2,3) and is perpendicular to t line x-}y+4 =…

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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: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

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: Find an equation for the line that contains the point( 2,3) and is parallel to the line . 2x + y = 6

A: we have to find the equation of the line that contains the point( 2,3) and is parallel to the line…

Q: Find an equation for the line that passes through the point ( -1, 7) and is parallel to the line…

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Q: Find an equation for the line with the given properties. Parallel to the line y = -4x; containing…

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