Determine whether the points lie on a straight line: A(2,4,2), B(3,7,-2), C(1,3,3)

Q: Which statement is true about a line that runs parallel to the x-axis and passes through the point…

A: We have to find equation of a line that runs parallel to the x-axis and passes through the point…

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 the distance between the points.

A: Find the distance between the points.

Q: Find the length of the perpendicular from (2,-3) to the line 2x - y +9 = 0?

A:

Q: What is the distance between the points(-6,2) and (-4,9)

A: -6, 2  &  -4, 9.

Q: The line perpendicular to y=2x-5 that goes through the point (1,7)

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Q: The midpoint between the points (6, -7, -2) and(-2, 1, 4) is

A: The solution of the problem is given in the next step.

Q: What is the distance between the points (-8,2) and (-4,10)

A:

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 whether the lines through the pairs of points are parallel A (2,3), B (2, -2) and C…

A: Slope of line passing through A(2,3) and B(2,-2) is:

Q: Which lines are parallel to y = −4x + 7?

A:

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: Which line is perpendicular to the line y point (-2, -4)? x and passes through the

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Q: Find the point on the line 6x + y = 8 that is closest to the point (-5, 3). 25 146

A: In this question we will use basic of calculus i.e the shortest distance of any point from any…

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 2).

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Q: . Determine the distance between the two points (3, -2) and (-1, -5).

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Q: Determine whether statement is true or false, and explain why. The line y = -2x + 5 intersects the…

A: We have to determine whether the given statement is true or false: The line y=-2x+5 intersects the…

Q: Which is the equation of the line that passes through the points (-3, 8) and (1, 4)?

A: Given points :

Q: What is the length of the line segment whose endpoints have coordinates (5,3) and (1,6)

A: length can be calculated by using distance formula

Q: Find the equation of a straight line passing through the points (3,4) and (-1,5).

A:

Q: Determine whether the points can all lie on the same line. (0, 5), (5, −3), (−5, 7)   o yes o no

A: Given:    Let A(0,5) , B(5,-3) , C(-5,7) Length of AB =(x2-x2)2+(y2-y1)2…

Q: What is the midpoint of a line segment with endpoints (4,-4) and (-2,6) ?

A: Given: The endpoints of a line segment (4, -4) and (-2, 6).

Q: Find the midpoint between the pair of points. (3,0) and (-5,4)

A:

Q: The point of intersection of the straight lines y = 2x + 4 and y = 4x – 5 is (x, y) = ... (을, -13)…

A: Given query is to find the point of intersection of the given lines.

Q: What is the equation of a line that passes through the points (0, 5) and (4, 8)?

A: Line passes through the points 0, 5 & 4, 8.

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

A:

Q: Find the midpoint of the line segment with the given endpoints. (-6, 0), (-1,0) o() ㅇ(1-1) O (4, 0)…

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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: Find the distance between each pair of points: а) (-3, —7) and (2, 5) b) (0, 0) and (-2, 6) с) (-а,…

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

Q: Find the distance between each pair of points: с) (-4, 1) and (4, 5) d) (x — 2, у —3) and (х + 4, у…

A: Distance between two points Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: Plot the points (3, –1), (3, 2), and (3, 4)

A:

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 the line that best fits points (1,6), (2,5) and (3,7).

A:

Q: Two lines that cross at a point are called v lines.

A: Two lines can either cross or run parallel to each other.

Q: whats is the midpoint of the line segment  (-1,2) (9,5)

A:

Q: what is the equation of a straight line which passes through the points (1,-3) (-4,7)

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Q: Find an equation of the straight line passing through the points (1,2) and (3, 10)

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Q: find the equation of the straight line passing through A (2,3) and B (6,5)

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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: What is the distance between the two points (-15,-20)(−15,−20) and (-10,5)(−10,5)

A: the given points are: (-15,-20) and (-10,5) we have to find the distance between these two given…

Q: Determine the exact distance between the pair of points. 22. (2.-3). (4,-8)

A:

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: Determine whether the points are collinear.(−2, 5), (0, −1), (3, −9)

A: We have to determine the given points are collinear or not: -2,5, 0,-1, 3,-9 We know that three…

Q: What is the slope of a line segment joining the points A(3, -2) and B(2, 3)?

A: Use formula for slope

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: Which point is farther from the origin, (3, -1, 2) or (0, 0, -4)?

A: We have to say which point is farther from the origin: 3, -1, 2 or 0, 0, -4. Distance of any point…

Q: Find the distance between the points (-2, 8) and (4, 5).a. 45 b. 9

A: Our Aim is to find the distance between the following pair of points (-2,8) and (4,5).Let A=(-2,8)…

Q: What are the coordinates of the point lying at the intersection of the lines x = 9 and y = −4?

A: First draw the line in coordinate system:

Q: Plot the given points in a coordinate plane.

A: Point A - (-5, 0) Point B - (2, 0) Point C - (2.6, -1.3) Point D - (-2.5, 3.5)