Determine whether the points lie on a straight line. (a)    A(2, 5, 1),    B(3, 9, −1),    C(1, 3, 2) Do they lie on a straight line or not? (b)    D(0, −3, 4),    E(1, 1, 3),    F(3, 5, 2) Do they lie on a straight line or not?

Q: he equation of the line passing through the point (1 (1, 1, 1) +t(0, 1,2) B. (1,1,1) +t(0,2, 2)…

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Q: P(-2,-3,-2), P2(4,–1,2), P:(10,1,6) is there a straight line that passes through the points?

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Q: The line segment that connects the points (-2,2) and (6,-1) Q intersects both the x and y axes.…

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Q: Find the equation of the line. Use exact numbers. y = r+ 8+ 7+ 6+ 5- 4 3+ 2- -9 -8 -7 -6 -5 -4 -3 /2…

A: Observing from the given graph we have

Q: What is the y-intercept of the line that passes through the points (2, 5) and (3, 6)? O A. (0,-7) о…

A: we know that equation of line which passes through two given points x1,y1, x2,y2 is given by…

Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: Plot the line containing the two points. From left to right, is the line g down or neither? (a)…

A: According to Bartleby q&a guidelines I will attempt only first 3 questions

Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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Q: What is the y-intercept of the line below? O (0, 2) O (0, 1) O (0, 3) O (0, 1)

A: To find y intercept of the line below

Q: Are the following 3 points on the same line? If so find the equation. P1(1,0,2), P2(-2,1,3),…

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Q: .C(-1,2,1), B(0,1,0), Thereis a straight line passing through the points (1-, 1,0) 4 A(1,0, - 1)…

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Q: r₁(t) = (14,3, 11) + t (−4, −1, −3) r₂(t) = (0.5, 4, −11) + t (1, 2, −4) Find the point of…

A: Given: Equations of lines:r1(t)=14,3,11+t-4,-1,-3r2(t)=0.5,4,-11+t1,2,-4

Q: Which one of the following point lies on the straight line: X-y = -4 Select one: O A. (2, 2) о в.…

A: To determine whether  any point lies on the given equation      x-y = - 4 Substitute the available…

Q: 4 Which equation represents a line that is parallel t- the line y =-4x + 5? 1) y=-4x +3 2) y=-*+5 4…

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Q: A6: What is the equation of the line joining the points (–1,5) and (2, –1)?

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Q: Which of the following is the point of intersection between the lines 2x + y = 7  and  x  - y = 2…

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Q: Find an equation for the perpendicular bisector of the line segment whose endpoints are ( 1 , 3 )…

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Q: r1(t)=⟨14,−5,12⟩+t⟨2,0,2⟩ r2(t)=⟨13,−5,1⟩+t⟨−2,0,3⟩ Find the point of intersection, P, of the…

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Q: 3. a) Determine whether or not the point R(-3, 4, -2) lies on the line i = [0,20,4]+t[1,4,–2].

A: Given

Q: Find the value of a  the line through (-2,3) and (8,5) is perpendicular to y=ax+2

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Q: .C(-1,2,1), B(0,1,0), A(1,0,–1) There is a straight line passing through the points True false

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Q: A point R(3, k) lies on the straight line joining P(4, 10) and Q(1, -2). Find the value of k.

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Q: Grandfather if found. P(-2,-3,-2), P2(4,-1,2), P;(10,1,6) Is there a straight line that passes…

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Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: Find the distance between points (-2, 3) and (4, -1).

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Q: Which two pairs of points lie on perpendicular lines? A. The points (0,-2), (1,7) and (-2,0), (7,1).…

A: We will find the slope and then check if the lines are perpendicular.

Q: Find the distance between the point and the line. Point      Line (8, 1)   −3x + 4y = −5

A: Use formula of distance of point from line

Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: Find the distance between each pair of points: c) (0, 2) and (0, - 3) d) (-2, 0) and (7, 0) a) (5, -…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which line is the same as [x, y] = [1, -8]++[4, −3]? a) [x, y]=[2, 4]++[4, -3] b) [x, y]= [1,…

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Q: Find the point on the line 6x + y = 8 that is closest to the point (-5, 3). 19 145 (х, у) %3D 37' 37

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Q: find the distance between points P1 and P2. P1(0, 0, 0), P2(2, -2, -2)

A: Distance between two points (x1, y1, z1) and (x2, y2, z2) is given by :

Q: Which is an equation of the line that goes through the points ("1, "6) and (-3, "4)? A y 2x-7 B y…

A: We have to find Equation of line passing through two given points (-1,-6) and (-3,-4)

Q: 2) Prove whether lines y, and y, are parallel, perpendicular, or neither. Use complete sentences and…

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Q: Find the equation of the straight line passing through the points Q (4, 3) and R (5, 8)

A: Given : the points Q (4, 3) and R (5, 8)To find : the equation of the straight line passing…

Q: 7. Which is an equation of the line that goes through the points (4, 1) and (-2, 3)? A y = 2x - 9 B…

A: Equation of line

Q: Which equation represents the line that passes through the points (1,1) and (-2,7)? I) y=-2r +9 2)…

A: we will use concepts in coordinate gemeotry

Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: 6. Find the intersection point of the two lines: [x, y] = [1, 2] + [2, –1] and [x, y] = [0, 3] +…

A: As per our guideline we will solve first one for you. If you want other question to be solved, then…

Q: 10. Plot the points (-1, 3) and (4, 3). What would be the remaining two points of a rectangle whose…

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Q: "hat is the distance between (-2, 4)and the line 3x -4y +7= 0? | 27 29 3.

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Q: (2) Is there a straight line that passes through the points, if any? * P(1,3,0), P2(0,2, – 1),…

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Q: Do the given points lie on a straight line? а. (1, -1), (-1, -5), (2,1) b. (-2, 2), (5, -8), (-7, 9)

A: The slope of the line between the points x0, y0, x1, y1 is y1-y0x1-x0. Calculate the slope of the…

Q: Q3: Represent the straight line. А (3, 1, 4) B (4, 3, 1)

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Q: y = x, y = 4x – x2, about the line x = 7

A: First we draw the image then set the integral.

Q: Pases through the points (-2,1) and (7,4). What is the equation of the line?

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Q: Which of the following is the point of intersection between the lines 2x + y = 7  and  x  - y = 2

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Q: Find the point (x1,x2) that lies on the line x1+3x2=15 and on the line x1−x2=−1. See the figure.…

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Q: ind the equation of the straight line passing through points4.5 and2.13

A: We have to write the equation of straight lines passing through (4,5) and (2,13)

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.