Show that the three points (4, 2), (7, 5), (9, 4) lie on a right line.

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: Given, the three points (-2, 1), (-1, 0) and (2, -2). We have to determine that whether these three…

Q: Find the midpoint of these two sets of points; (2, -5) & (-3, -10).

A: Given: The two sets of points are (2, -5) and (-3, -10)

Q: The three points (3,-5), (-a+2,3), and (2a+3,2) lie on the same line. What is a?

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

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: Find the coordinates of the image of 8 8- -6 -2 2 4 6. 8. 10 -10 -2 -4 -6 -8 -10 A (8,-7) 69 4.

A: Given coordinate of J(8, 7), we have to find the reflection over x-axis

Q: Determine if the points (-3,5), (-1,2) and (3,-4) No Yes are colinear. Show your work

A: yes .the given points are collinear. see 2nd step.

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: lines

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Q: Give the equation of the line passing through the points (1,2) and (5,3).

A: Give the equation of the line passing through the points (1,2) and (5,3).

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: Find an equation of the line determined by the points P(1, 2, 3), Q(2,0, 1)

A: Please refer to the image below

Q: Do the points (1, 5, −7), (1, 7, −10), and (1, 8, −13) lie on the sameline?

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Q: Verify that (1, 2) is the midpoint of the line segment joining (-3, -1) and (5, 5).

A: To verify that (1, 2) is the midpoint of the line segment joining (-3, -1) and (5, 5). By using…

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Find the distance from the point (6,−9,−4)(6,-9,-4) to the line…

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

A: Calculate the slope m for line passing through (-3, 8) and (5, -7).…

Q: he points P1(2, 0, 1), P2(3, - 2,- 3), P3(4, - 6, - 5) lie on the same line.

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Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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

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Q: What is an equation of the line that passes through the points (3, 0)(3,0) and (6, -1)(6,−1)

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Q: Find the symmetric equations of the line that passes through the points (-2, 1, 0) and (1, 3, 5).

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Q: Show that the point P(3, 1, 2) is equidistant from the points A(2, -1, 3) and B(4, 3, 1).

A: Let the distance between P(3, 1, 2) and A(2, -1, 3) be d1 and the distance between P(3, 1, 2) and…

Q: Determine whether the points are collinear. (Three points are collinear if they lie on the same…

A: We have to determine whether the given points are collinear or not: 0, 4, 7, -6, -5, 11 We know that…

Q: Show that the line joining the points A (2,3,-1) and B(3,5,-3) ,C(1,2,3) and D(3,5,7)

A: Explanation of the solution is given below...

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: Determine whether the points are coplanar. (-4, –4, –4), (4, -1,-4),(-4,–1,–-4).

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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: 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: Determine whether the points are collinear. (4, 12), (-4, -20), (-2, –16) O collinear O not…

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Q: Find the set of parallel lines intersecting at a point (3, -2, 0).

A: Use : Parallel lines never intersect.

Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: The line passing through the points (- 2, 2) and (2, 2) is;

A:

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: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line

A: Please find the solution in the attached images :

Q: Find the slop of the line that goes through the given points. (-2,8 ), ( 4,3 )

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Q: 7) Determine whether the two lines = =2 and * z+2 are in parallel.

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Q: Find the x and y intercepts of the line that passes through the given points (4,1) and (2,2)

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Q: Is the line that contains the points P1(−3, 1) and P2(1, 3) perpendicular to the line that…

A: We can check the line joining the points are perpendicular or not as per the concepts as below.

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: Select all of the lines that go through the point (2, 5). Oy = (r- 5) + 2 O y = 2x + 1 %3D

A: We have given point (2, 5) a) OPTION (A) y=x-52+2 If the point (2, 5) lies on the above line then it…

Q: Find the midpoint between the two points. 17. (1,1), (5,5) 19. (3,0), (5,-4) 21. (0,-5), (3,-2

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Q: Let l: = = -: - 5 and p = (1,7, -4) + A(1, -2, 2) be two lines in space.

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Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.