A line passes through the points (3, 5) and (2, 0).

Q: Find the point on the line 5x + y = 7 that is closest to the point (−4, 3).

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Q: Write the equation of a line that passes through points (1, −1, 2) and (2, 1, 1)

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Q: What is an equation for the line that passes through points (4, -4) and (8, 4)?

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Q: Find the point on the line 2x + y = 5 that is closest to the point (−5, 3).

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

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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: A line passes through points (-2, - 1) and (4, 3). Where does the line intersect the x-axis? the…

A: Given:-2,-1 and 4,3Slope:m=y2-y1x2-x1

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: The points (x, -5) and (2, y) are on the line containing the points (-14, 7) and (10, 1). What is…

A: equation of line containing two points (x1,x2) and (y1,y2) is y-y1=y2-y1x2-x1x-x1

Q: What is an equation of the line that passes through the points (−7,7)and (3,7)?

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Q: What is the equation of the line if the line passes through points (1,5/2) and (2,3)?

A: Given: - The line passes through points are, 1,52 and 2,3 To find: - The equation of the line.

Q: Find the point on the line 6x + y = 7 that is closest to the point (−5, 3).

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

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Q: Give the equation of the line passing through the points (-3,11/5),(-3,2)

A: To find the equation of the line passing through the points (-3,11/5),(-3,2)

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

A: Nearest distance is the perpendicular distance from the point to the line.

Q: Find an equation of the line that passes through the points. (3, 2), (3, 4)

A: Given, Line is passing through the points 3, 2  and  3, 4  We have to find the equation of the line.…

Q: The equation of the straight line that passes through the points (-2,3), (2,3) is:

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Q: The line parallel to y=-x-2, passing through the point (–4, 2).

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Q: What is an equation of the line that passes through the points (3, –6) and (-7, –6)?

A: Equation of the line in the two-point form: where

Q: passes through the point (1, -2) and

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Q: A line passes through the points (-3, 4), (7, -2), and (17, y). What is the value of y?

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Q: Find an equation of the vertical line with the given property. Passes through the point (−7, 9)

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

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Q: Find the point on the line 6x + y = 9 that is closest to the point (−5, 2).

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Q: Find the point on the line 6x + y = 5 that is closest to the point (−5, 3)

A: Given :  6x + y = 5 and point (−5, 3)

Q: The line passes through the points (1,3) and (3,-3). Give your answer in standard form.

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Q: Find an equation of the line passing through the points.(−2, 3), (−2, −4)

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Q: Find the point on the line 2x + y = 6 that is closest to the point (−5, 3).

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Q: Find the point on the line 2x + y = 5 that is closest to the point (−4, 3).

A: See the details solution in below

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: The equation of the line that passes through the points (2, 3), (-1, 0) is:

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

A: In general to solve a problem of this type you can use the point-slope form of a line:…

Q: Find the point on the line 5x + y = 5 that is closest to the point (−4, 2).

A: Given,  The equation of the line  5x + y = 5   We have to find the point on the line which is…

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

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Q: Find the point on the line 4x + y = 6 that is closest to the point (−5, 3).

A: Here to solve question closest distance is perpendicular distance.

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 3).

A: Given 2x+y=7              y=7-2x

Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4)

A: Equation of line passing through two points namely (x0,y0) and (x1,y1)  respectively    is given by:…

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

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Q: Find the point on the line 3x + y = 5 that is closest to the point (−5, 2).

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Q: .Which equation represents the line that passes through the point (5, 7) and is parallel to the…

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Q: Find the point on the line 2x + y = 9 that is closest to the point (−4, 3

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Q: 6. What is the equation of the line joining the points (3, 4) and (-2, 5)?

A: Given point  (3, 4) and (-2, 5)  General equation of line passing through two point (X1, Y1 ) and…

Q: What is an equation of the line that passes through the points (−4,8) and (2,−1)?

A: Using equation of 2 points.

Q: The line passes through the point (-6, 7) and is parallelto the line 4x -y = 0

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