Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance _?

Q: Find the equation of the line passing through the point (−4,2)-4,2 and perpendicular to the line…

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Q: find equation of a line passing through 2 points of intersection of two lines 3x-2y equal -8 and…

A: find equation of a line passing through 2 points of intersection of two lines 3x-2y equal -8 and…

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: Find the point on the line 2x + y = 7 that is closest to the point (−5, 2).

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Q: the line parallel to -6x + ½y = 0 and passing through (10, 10)

A: Two parallel line have same gradient.

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

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Q: Write the equation of the line that is perpendicular to y = 5/2x + 8 and goes through the point…

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Q: Find the equation of the line passing through the point (−8,4)-8,4 and perpendicular to the line…

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Q: Find the slope of the line passing through the pair of points :(0, −10), (−4, 0).

A: Given  points (0,-10) and (-4,0) Aim to determine slope of line passing through it

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: The line through (-2,-8) and (0,2) and parallel to the line y=5x-3.

A: One and only one line can pass through two given points.The points given are : (-2,-8) and (0,2)

Q: Find the equation of the line with a slope of -2/3 and passes through the point. (-3, 4) A.y = −…

A: We can find the equation of straight line using point and slope form.

Q: Find the slope of the line passing through the pair of points (0, 9), (6, 0).

A: We know that, slope m of a line passing through the points x1,y1 and x2,y2 is given as m=y2-y1x2-x1…

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

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Q: Find the point on the line 5x + y = 9 that is closest to the point (−5, 3).

A: Use distance formula to solve this

Q: Find the point on the line 5x + y = 5 that is closest to the point (−2, 1).

A: We will solve the following.

Q: The equation of the line that passes through the point (-1, 4) and parallel to the line y= 7x - 5 is…

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Q: Find the equation of the line passing through the point (-8, 3) and perpendicular to the line 7y-2x…

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Q: Determine the equation of the line perpendicular to the line y=3x-7 through the point (3,-4)

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

A:

Q: Find the equation of a line perpendicular to 4x−y=4 that contains the point (−2,−2).

A: It is equation of normal line .

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

A:

Q: Find the distance between the line y=4x-12 and the point (4, 15).

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

A: We use Given Equation and Point find the point on the line. We draw a perpendicular line from  given…

Q: Find the equation of the line passing through the point (−2,−6) and parallel to the line y=6x+7 You…

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Q: Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

A: To Find the point on the line 3x + y = 5 that is closest to the point (−2, 1).

Q: Find the distance between the two points. 4. (0, 0), (4, 3) 5. (0,-7), (5, 5) 6. (4, 2), (-1, 5) 7.…

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Q: Find the line of intersection between the lines: +1 and +.

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

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: Find the point on the line 6x + y = 8 that is closest to the point (−4, 2).

A: We have to find the  point on the given line closest to another point.

Q: Find the slope and y-intercept (0,b) of the line containing points (4,8) and (8,-4). slope=…

A: Given query is to find the slope and y intercept for the line passing through (4,8) and (8,-4).

Q: the line parallel to -6x + ½y = 0 and passing through (10, 10) %3D

A: Given: -6x+1/2y=0 Passing through (10, 10)

Q: The line through the points (a, 3) and (4, -1) is perpendicular to the line y = 2x +3. Determine the…

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Q: Find the point on the line 5x + y = 7 that is closest to the point (−2, 1).

A:

Q: Find the point on the line 5x + y = 5 that is closest to the point (−4, 1). (x, y) =

A: Given information:- Find the point on the line 5x + y = 5 that is closest to the point (−4, 1).…

Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: Find a linear equation whose graph is the straight line with the given properties. through (0.5, 4)…

A: The equation in the form y=a0x+a1 represents a straight line in a rectangular coordinate system. A…

Q: Graph the line with slope 5 and y-intercept (x, y) = (0, –3). 10 2. -10 -9 -8 -7 -6 -5 4 -3 -2 10…

A: Slope intercept form is y=mx+bWhere m is the slope b is the y intercept

Q: Write an equation in slope-intercept form for the line through (-2,1) and a) parallel to 2x - y =8…

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Q: Write an equation for a line perpendicular to y=2x+2y=2x+2 and passing through the point (4,-4)

A: The product of slopes of two perpendicular lines is equal to -1.           m1  x  m2  =  -1…

Q: Find the point on the line 5x + y = 9 that is closest to the point (−3, 1).

A:

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 of intersection of the pair of straight lines. y = -9x - 7 y = 10x + 9 (x, y) =

A: Given y = -9x - 7                               (1)y = 10x + 9                             (2)…

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 the point on the line 5x + y = 9 that is closest to the point (−4, 1).

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

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Q: The line parallel to y=4x+5 and passes through the point (3,2)

A: To find The line parallel to y=4x+5 and passes through the point (3,2)