The angle from the line through (x, -1) and (-3,-5) to the line through (2,-5) and (4,1) is 45 degrees find x.

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

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Q: The image of the point (4,-2) under a translation is (-1,3). Find the coordinates of the image of…

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

Q: Find a point equidistant from the points (3,2) and 5,-1)

A: Let the coordinates of the required point be x and y.

Q: The angle from the line through A(-4,5) and B(x,9) to the line through C(-1,4) and D(9,1) is 135°.…

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

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Q: Find x such that the line through (2, - 3) and (3, 2) is perpendicular to the line through (- 2, 4)…

A: We have the points A(2,-3),B(3,2),C(-2,4) and D(x,-1) We have to find the value of x such that the…

Q: Find equation of the line that passes through the points (3,6) And Is perpendicular to the line…

A: We need to find equation of the line that passes through the points (3,6) and is perpendicular to…

Q: Find the point where the two lines +s and +t intersect, if it exists

A: We need to find point where lines intersect.

Q: Find the equation of the straight line passing through the point (1,2) and making an angle 60o with…

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

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Q: In the coordinate plane, the point A (0, 2) is translated to the point A'(-4, 4). Under the same…

A: given that point A(0, 2) is translated to the point A'(-4, 4). let origin is shifted to (a, b), then…

Q: he midpoint of line segment of AB is point M, located at (-28,5).  If the coordinate of A are…

A: The midpoint of line segment of AB is point M, located at (-28,5). The coordinate of A are (2,-4)To…

Q: Find the distance of the line 3x−2y−1=0 from the point (5,3) measured in a direction making an angle…

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Q: If the line passing through the points (a,1) and (-12,7) is parallel to the line passing through the…

A: Let the parallel lines be as shown in figure. for parallel lines the slope will be equal. for line…

Q: The line 4x – 3y = -32 intersects with x – axis. Find the angle from the said line to the x – axis.…

A: Topic:- slope and angle with x -axis

Q: The line containing the points (6, y) and (8, =2) is perpendicular to the line containing the points…

A: The line containing the points (6,y) and (8,-2) is perpendicular to the line containing the…

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

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Q: P (-2, 2), Q (2, 5) and R (-2, -4) are three points, find the angle between the straight lines PQ…

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Q: Find the equation of the line that passes through the point (2,3) and make an angle of 45° against…

A: Given Line is : 3x-y+5=0

Q: Find the distance between the two points (2, 1) and (-3, 6). *

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

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Q: = Find the angle between A (3,-2, 3) and B = (1, -3, -3).

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Q: What passes through the point (1,-2) and represents a parallel line to what?

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Q: Given the points below, are Line A and Line B parallel, perpendicular, or neither? Line A contains…

A: L1 :(-2,2),(2,-2) L2 :-1,3,2,0 Formula: Slope, m= y2-y1x2-x1  Concept: Parallel lines: The slopes of…

Q: 4. Find the equation of line 4 that is parallel to v=-i+3j+2k and goes through the point (-6,20,1).…

A: Answer is mentioned below

Q: The direction numbers oF two lines are 2,-1,4 and -3,2,2. Show that the lines are per pen dicular.

A: This question is related to geometry.

Q: Find the equation of the line parallel to y=2x+6 and through the point (1,7). Y=

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Q: Find the angle in degrees between two lines. 3x+y = 3 and x-y = 2.

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Q: Find the equation of the line perpendicular to Ax+ By = C through the point (2,11)

A: We know that if two lines are said to be perpendicular then the product of their slope is equal to…

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

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Q: Is the point (3, 1) on the line that contains the points (−2, −1) and (4, 2)?

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Q: If the points (3 , y) is equidistant from (5 , -2) and (-1 , 4), find y

A: Given that: The point ( 3, y ) is equidistant from ( 5, -2 ) and ( -1, 4) . Denote the points by…

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 length of the line segment connecting P1(3, -2) and P2(-4, 1).

A: we know that distanced between two given pointx1,y1,x2,y2 is given by d=x2-x12+y2-y12 here,…

Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: the midpoint of a line segment is (2,-1) and the endpoint of one line segment is A=(-2,3), what is…

A: We have to find the point B

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: equation of the vertical line passing through (5,6) is:

A: We will find the equation of line.

Q: 4. Determine the coordinate of the point which is three-fifths of the way from point (2, -5) to the…

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Q: The equation for the set of all points (x, y) that are equidistant from the points (-1,2) and (3,-2)…

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Q: Write the equation of the line that is tanget to the circle (x-1)^(2)+(y-2)^(2)=25  at the point…

A: circle equation = (x-1)^(2)+(y-2)^(2)=25    Differentiating the equation of circle to get the slope…

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: The distance of the point (12,1) from the line

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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: ind the two trisection points of the line segment joining A(-3,-4) and B(6,11)

A: SOLUTION-

Q: the point (8,-5) is 6 units above the point P(x,y) and 3 units to the right of it, then what are the…

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Q: perpendicular to x + y = 4, passing through (15, -5)

A: