Consider the for points used in problem 1(-9,13)(-3,9)(3,6) and (9,1) three out of four of these points lie on one line. Which one of the four points does not lie on the same line as the other three?

Q: In Problems 35–46, find the distance d (P , P;) between the points P, and P,. 35. 36. 37. 38. 2 P, =…

A: As there are multiple questions , 35) is solved here.

Q: A, B, and C are three points on a line. AC = 8, ВС %3 4, and AB = 12. Which point must be between…

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Q: What is the relationship between Line 1 and Line 2? Line 1: 3x + 4y = 2 Line 2: 4x +3y = 2 %3D %3D

A: Given:Line 1: 3x+4y=2Line 2: 4x+3y=2 Find the relationship between line 1 and line 2.

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: What is the best sequential approach to teaching students how to write proofs about parallel lines

A: There are different pairs of angles like vertically opposite angles, corresponding angles, interior…

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

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

A: We know that slopem of line which passes through pointsx1,y1,x2,y2 is given by m=y2-y1x2-x1…

Q: Find an equation of the line that satisfies the given conditions. Through (3, 9); parallel to the…

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Q: Find a set of symmetric equations of the line through the points (5, 6, 3) and (8, 11, 8). O x-5_…

A: to find set of symmetric equations of the line through the points 5,6,3 and 8,11,8

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: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 4

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Q: What is the distance between the following two points (-4,14) and (4,8)

A: If P(x1 , y1) & Q (x2, y2)  be two points  then the distance PQ¯ is given by PQ¯ =…

Q: 4. If two lines do not intersect, can a third line be drawn perpendicular to them?

A: This is a problem related to intersection of the line. Based on the general formula and concepts we…

Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

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Q: Can you find the distance between the line x-9=y-7=z-10 and the line x-11=y-11=3z-19?

A: detail solution written below

Q: In Problems 55–62, find the midpoint of the line segment joining the points P, and P2. 55. P. — (3,…

A: A mid point divides a line segment joining two point to exactly two halves . The mid points of the…

Q: What is the equation of the line passing through points (1,5) and (4,2)

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Q: and

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Q: If M is the midpoint of the line segment joining points A and B, and A is the point (-2 , 1) and M…

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Q: A hiker is lost in the forest, but has his cell phone with a weak signal. Cell phones with GPS can…

A: Consider the following figure: Point A and B represents tower A and B respectively. Point C…

Q: Find K so that the line through( 1, 5 )and( K, 8) is a) parallel to 4y -3X =7 and b) perpendicular…

A: compute the equation of a line joining (1,5) and (k,8) by using below formula.

Q: Create your own word problem(1 problem only) and show your solution about Parallel Lines Cut by…

A: PARALLEL LINES CUT BY THE TRANSVERSAL

Q: Give the equation of the line shown in the graph below. 4- -2 -65 4 -2 -1 1234 $6 -2 -3- 5 -6- f(2)…

A: Equation of line passing through the points (x0,y0)  and (x1,y1) is given by y-y0=y1-y0x1-x0x-x0see…

Q: Find an equation of the line passing through the given points. (1, 1), (8, - 2) y=--

A: The line passing through the points (1,1) , 8,-34

Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

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Q: In Problem,describe the set of points defined by the equation(s). x=3 and z=1

A: Cosider : x=1 and  z= 1 In the 3D vector space, the point (a,b,c) is  described as  x=a , y = b, z=…

Q: The image of the line x + y - 4 = 0 reflected on the line x - 2 = 0 is

A: The given line x+y-4=0 passes through the points (4,0) & (0,4). Next note that the reflection of…

Q: Find an equation of the line that satisfies the given conditions. Through (4, 9); parallel to the…

A: Equation of a line is of the form y=mx+c where m is the slope and c is the y intercept. Also note…

Q: What is the distance between the line with Cartesian equation x-8 = y-9 = z-8 and the line with…

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Q: Find an equation of the line that satisfies the given conditions. Through (-3, –13); perpendicular…

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Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.

Q: What is the distance between the two given points(5,1)and (5,-6)

A: Given The points are (5 ,1) and (5 ,-6) Distance formula

Q: Suppose that a line passes through the points (5,-6) and (-6,4). Where will it pass through the x…

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Q: Question 1 Is the point (73, 80) on the line 2.39x + y = 254.47? Yes No Question 2 Is the point (40,…

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Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: Put a point on the line. 12 -4- -8 -4 4 8. Type an (x,y) ordered pair to put a point on this line.

A: According to given graph:-

Q: Find the equation of the line passing through the points (2,4, –1) and (0, –2, 1).

A: The aim is to find the equation of line that passes through the given points. The standard form of…

Q: What is the X -intercept of the lihe that passes through points 4,-5) &(7,-8) %3D

A: First we will find the slope.

Q: Sketch a 1-cube (line), 2-cube (square), and 3-cube. What are the numbers of vertices (corners) for…

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Q: What is the equation of the line that is parallel to the line y = -¼x + 5 and passing th point (2,…

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Q: If the sum of the reciprocals of the intercepts made by a variable straight line on the axes of…

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Q: If a transversal is perpendicular to one of two parallel lines, then it's to the other line.

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Q: If point A is one unit to the right of Y-axis and two units above the X-axis while point B is two…

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Q: What is the distance between the line with Cartesian equation x-9 = y-6 = z-8 and the line with…

A: Suppose we have two lines in vector form as :               L1 : r=a1+μb1 ; μ∈ℝL2 : r=a2+tb2 ; t∈ℝ…

Q: Find an equation of the line perpe es through the point (2, 5, –1),

A: Here we have to find the equation of line perpendicular to the plane 3x-2y+z=7 and passing through…

Q: How far is the point (2, -3) from the line 3x - 4y +7 =0? O 5 O 4 O 6 O 7

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Q: suppose that l and m are two lines. then the number of points in l intersect m is either 0, 1, or…

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