Find the coordinates of the point which is two-thirds of the way from the point (5,1) to the point (-2,9).

Q: Explain how to plot the point (3, -2, 1) in ℝ3.

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Q: Determine the equation perpendicular to the line 2x-y=6 through the point (-2,3)

A: 2x - y = 6 y = (2)x -6 The gradient of the above line is 2 We know that the product of the gradient…

Q: Find the equation (in terms of xx) of the line through the points (-4,-1) and (3,-4)

A: The line passing through the points (-4,-1) and (3,-4)

Q: Find the distance between the points (-4,-2) and (-3,0)

A: we have to find the distance between the points (-4,-2) and (-3,0)

Q: What is an equation of the line that passes through the points (-4,-6) and (4, 4)?

A: two points are -  (-4,-6) and (4,4)

Q: Find the equation of the line passing through the point (−3,5)(−3,5)

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Q: Find the distance between the two points:(-5,-4) and (-2,-1)

A: Distance between to points (a,c) and (b,d) is given as D = √[(a-b)2 + (c-d)2]

Q: Find the point on X-axis which is equidistant from (2,-5) and (-2,9)

A: Let coordinate P(x,y) is equidistant from Q(2,-5) & R(-2,9) distance of point from (x1,y1) to…

Q: Find the equation (in terms of x) of the line through the points (-1,-5) and (2,-1) y=

A: Equation of a line has the common form y=mx+c. Here m is the slope and c is the intercept. This…

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

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Q: Find the equation (in terms of x) of the line through the points (-4,2) and (3,-5) y=

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Q: Find the equation of the line that passes through the points (2, 1) and (-3,2).

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Q: Find the equation (in terms of xx) of the line through the points (-2,1) and (1,-4)

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Q: Find the equation (in terms of x) of the line through the points (-3,-5) and (2,5).

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Q: Find an equation for the points (-4 , 4) and (2 , 6).

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Q: Determine

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Q: Find the equation (in terms of ¤) of the line through the points (-4,6) and (1,-9) %3D

A: Given : The points are -4,6 and 1,-9

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: Find an equation of the line passes through the point (-5,5) and (10,-1)

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Q: Find the equation (in terms of x) of the line through the points (-5,2) and (3,-2)  y=

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Q: Find the equation of the line through the points(-3,3) and (3,8)

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Q: Find the distance between the points (-6, 3) and (-8, -7)

A: Let the given points be A and B where A is (-6, 3) and B is (-8, -7) distance between the points A…

Q: Find the equation for the line that passes through the point (-2, -3), and that is parallel to the…

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Q: Find the equation (in terms of x) of the line through the points (-4,-3) and (3,11)

A: Given: To determine the equation of line through the points (-4, -3) and (3,11)

Q: Find the coordinates of the point on the line 2x + y = 3 closest to the point (2, 2)

A: Given equation of line is  Let the point on the line be (x,y) Then, distance between points (x,y)…

Q: Find the equation (in terms of æ) of the line through the points (-3,-5) and (1,7)

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Q: Find the equation (in terms of æ) of the line through the points (-1,-6) and (1,-2) y =

A: Solution

Q: Find the equation (in terms of 2) of the line through the points (-5,-4) and (2,3) y =

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Q: Find the equation (in terms of x) of the line through the points (-1,2) and (5,-2) y = ___

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Q: Find the equation (in terms of xx) of the line through the points (-4,-3) and (3,2) y=

A: the given points are , (-4,-3) & (3,2)∴ the equn of the line through these points is…

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

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Q: Find the equation of the line through the points (-4, 3) and (-2, 1).

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Q: Find the point on the line 0 + 7y - 5 =0 which is closest to the point (5, -4). || Answer is

A: Definition used –  Minima using derivative –  For finding the minimum value of function f(x), First,…

Q: Find the equation (in terms of x) of the line through the points (-2,-5) and (3,1) Y :

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Q: Find the coordinates of the point on the line 2x+y=3 closest to the point (-2,2).

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Q: Find an equation in point-slope form that passes through the point (-7, 12) and is perpendicular to…

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Q: Find the equation (in terms of x) of the line through the points (-2,5) and (2,-7) y =

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Q: Find the equation (in terms of x) of the line through the points (-1,-5) and (2,4) y =

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Q: Find the equation (in terms of x) of the line through the points (-4,-5) and (1,5)

A: We will use the point-slope formula to find the equation of the line with (x1,y1)= (-4,-5) and…

Q: Find the equation (in terms of xx) of the line through the points (-1,7) and (2,1)

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Q: What is the equation of the line which goes through the point (-2,7) and (0,5).

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Q: Determine the coordinates of the point which is 3/5 of the way from the point (2, -5) to the…

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Q: Find the equation of the line joining points (4,9) and (-2,0)

A: Consider the given information:

Q: Find the point on the line y = 3x-1 closest to the point (-1, 1)

A: Line is y=3x-1 and the point is -1, 1. Let x, y=x, 3x-1 be the point on the line y=3x-1 that is…

Q: Find the nearest distance from the point (-4,2) and the line 2x-y 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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 equation of the line through the points (-4,-9) and (2,3)

A: Equation of the line passing through the two points…

Q: Determine the equation that passes through the points of (6, 3) and (5, -6)

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Q: Find the equation of the line through the points (-3, –4) and (-6, –7).

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