Finding a Distance In Exercises 23–26,find the distance between the points.23. (−2, 6), (3, −6) 24. (8, 5), (0, 20)25. (1, 4), (−5, −1) 26. (9.5, −2.6), (−3.9, 8.2)

Q: Find the equation of the regression line. X= 47,55,58,51,50,43 Y= 163, 203, 203, 182, 170, 140

A: X Y X.Y X2 47 163 7661 2209 55 203 11165 3025 58 203 11774 3364 51 182 9282 2601 50 170…

Q: Distance between two points (-2,-9) and (-1,8)

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Q: Find the coordinates of point P on the yaxis whose distance to point A = (2,−3) is equal 2 √ 2. [a]…

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Q: dotted red line. 2- -8 -6 -4 2-4- 6 -6 1,

A: follow the next step

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

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Q: How do you know that the points (4,7), (-1,-8), and (0,-5) lie on a straight line?

A: First find the line passing through (4,7) & (-1,-8) which is:…

Q: One endpoint of a line segment has coordinates represented by (+6, y). The midpoint of the line…

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Q: In Exercises 25–30, find the distance between points P1 and P2. 25. P1(1, 1, 1), P2(3, 3, 0) 26.…

A: Given,

Q: 15. What is the distance between points (-3, 6) and (-7,-2)?

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Q: The line through the points (-3, 8, --4) and (1,0, 8) intersecta the B. (0,2,5) C. (5,2,0) D. (0,5,…

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Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? 4.1 © 8.5 6.4

A: We can use distance formula to find distance between two points (x1,y1) and (x2,y2).

Q: 4. The line passes through the point (-6, 0, 8) and is parallel to the line x 5-2t, y=-4+2t, z 0.

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Q: Find the distance between the point and the line. (Round your answer to four decimal places.) Point…

A: The given equation of the line: y=-7x-6and the given point is 7,-7.We need to find the distance from…

Q: Find the point of intersection of the pair of straight lines. y  =  −8x  −  9 −y  =  9x  +  3 (x,…

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Q: 9. Explain It How are perpendicular lines similar to intersecting lines? How are they different?

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

A: for finding the closest point to a given point .use distance formula and then find the critical…

Q: referring to the image please help me find the correct terms for each    1 .variable a.)The…

A: (1) The variable term is to be determined.

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

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Q: Find the distance between the point and the line. (Round your answer to four decimal places.) Point…

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Q: One endpoint of a line segment has coordinates represented by (x + 2, y). The midpoint of the line…

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Q: eflect the triangle over the line with the rule (x,y)→(y,x) -8- 4- -8 -4 4 --4-

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Q: 13.) x-intercepts: (-1,0) (5,0) Point (-2,-9)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: One endpoint of a line segment has coordinates represented by (r+6, y). The midpoint of the line…

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Q: Find the coordinates of the midpoint of the line segment joining the points. (4, 0, −8), (8, 2, 24)…

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Q: plane

A: We are given three points  P(9,0,0)   ,  Q(0,18,0)    ,R(0,0,27). First we need to find a orthogonal…

Q: plane.

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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: Van Gogh's painting "( The Starry Night )" contributed significantly to the emergence of…

A: We have to tell what does Van Gogh's painting "(The Starry Night) emphasize.

Q: Determine the midpoint of the line segment between the pairs of points. (8,6) and (2,10) the…

A: The midpoint of the line segment between the pairs of points (8,6) and (2,10) is

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

A: We haveThe line 2x+y=5 closest to the point −4,3

Q: What's the distance between the point (-9,2) and (-4,2)?

A: Given : point (-9,2) and (-4,2)

Q: What does the rise represent 1.the change in y axis 2.the change in the x axis

A: We know that, slope is the change in the vertical axis divided by the change in the horizontal axis.…

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

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Q: explain mathematically and illustrate and a cultural artefact where glide-reflection is used to…

A: here i am going to expalin this theory in example form and i give three example solve :

Q: What are the points of intersection of y = 10x? – 10 and y = 5x (-0.78, -3.9) and (6.4, 1.3)…

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Q: Use the model to estimate the y-value when x = 7 y = Use the model to estimate the y-value when x =…

A: Provided data is: x y 3 23.86 4 23.79 5 22.52 6 17.85 7 16.98…

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: Using the rule (x, y)-(-y, x) find the image points: A(2, 3) B(-5, 6) C(-1,-3) B'(, ) C(, ) A'(, )

A: 30. Using the rule (x,y)→(-y,x) Find the image pointsA(2,3)       B(-5,6)…

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: What is the distance between (-7,3) and (-11,3) on coordinate grid

A: We have to find distance

Q: Test for symmetry with respect to the x-axis and the y-axis.2x + y = 4

A: Test for symmetry with respect to the x-axis and the y-axis. 2x + y = 4. To test for symmetry with…

Q: 6. The midpoint between the points A(-2,-3,1) and B(6,9, –3) is (b) (2,3, –1). (c) (-4, –6,2). (a)…

A: Midpoint of line joining (x1,y1,z1) and (x2,y2,z2) is  (x1+x22,y1+y22,z1+z22)

Q: Find the midpoint between two points (2,4) and (8,12) a. 2,4           b. 7,3…

A: GIVEN: Two points are given (2, 4) and (8, 12)

Q: The straight line L1 that passes through the points P1 (2, 8) and P2 (7, 5), and the straight line…

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Q: G find the distance between fwo point (-6, 1,4), (4,0,-5)

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

Q: Define X intersect Y. How is the intersection of X and Y denoted?

A: The intersection of two sets means that the set of elements that are common to both sets. The…

Q: 7. In the standard (x, y) coordinate plane, the point (2,7) is the midpoint of the line segment with…

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

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Q: Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.