In Exercises 1-10, plot the given point in a rectangular coordinate system. 1. (1,4) 2. (2, 5) 3. (-2, 3) 4. (-1, 4) 5. (-3, -5) 6. (-4, -2) 7. (4, -1) 9. (-4, 0) 8. (3, -2) 10. (0, -3)

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: What is an equation of the line that passes through the point (–7, –6) and is parallel to the line x…

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Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Given: plot P(2, -4, 1) and Q(0, 3, 4) .

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: find the distance between the points (−2, 1, −5), (4, −1, −1)

A: Consider the formula to find the distance between 2 points in 3D and the given points. Let d be the…

Q: lines

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Q: Plot the given points in a coordinate plane.

A: We have to plot the points in the coordinate plane, the points are of the form x1,y1=0,5 ,…

Q: Find the coordinates of the image of the point (-22) when it is reflected across the line y-7 O…

A: Given that the line y=7 and the coordinates whose image has to be found is (-2,2) Let A be the…

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: 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: What is he symmetric equation of the line that passes through the points (3, 0, 11) and (2, 6, 7)?

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Q: What is the symmetric equation of the line through the points (2,1,1) and (5,-1,2).

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Q: Is there a straight line that passes through the points? P, (2,0,1), P2(3, –2,0), P3(1,2,2)

A: If a line is passing through three points, then the points are said to be collinear. The vector that…

Q: What are the coordinates of point P, the image of point (3, –4) after Rywx? А. (3.4) B. (-3,4) С.…

A: The point given is (3, -4)

Q: Sketch the points (1, 5, 3), (0, 2, −3), (−3, 0, 2) and (2, −2, −1) on a single set of coordinate…

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Q: Find the areas of the parallelograms whose vertices are given in Exercises 35–40. 35. A(1, 0), B(0,…

A: Area of parallelogram ABCD is |AB x AD|

Q: Plot the points (0, 4, −5) , (4, 0, 5)  in the same three-dimensional coordinate system. (a)

A: Given we have given two points 0,4,-5 and 4,0,5

Q: 8- 6- 2+ -8 -6 -4 -4 4+ 6- -8- What is the equation of the line? 2.

A: Equation of line passes through a point (0,4) and parallel to x-axis

Q: Find the distance from the point (6,−9,−4)(6,-9,-4) to the line…

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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: plot the points on a coordinate system.

A: 19. -1, 320. 4, -221. -4, 3

Q: In Exercises 33–34, find the distance from the point to the line. 33. (3, -1, 4); x = 4 - t, y = 3 +…

A: Note:We’ll answer the 33th question since we answer only one question at a time. Please submit a new…

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

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Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ (-6, 1)(-4, 1)2+ 4…

A: Given,  The coordinates of point -4, 1  We have to write the coordinates of point -4, 1 after a…

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

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Q: Find the distance between each pair of points: а) (-3, —7) and (2, 5) b) (0, 0) and (-2, 6) с) (-а,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

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Q: Plot the points (3, –1), (3, 2), and (3, 4)

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Q: Find the distance from the point (-2,2,-1) to the line ä(t) = (- 2,3, 2)t + (8,0, – 7).

A: the given point is (-2, 2, -1) the line equation is a→(t) = <-2, 3, 2>t + <8, 0, -7>

Q: 8f 6- A 4- 2. TE -8 -6. -4 -2 2. 6. 8 2- -4- F -6- -81 If point D is translated 6 units right and 4…

A: 6 units right implies change in x coordinate 4 units up implies change in y coordinate

Q: B. Find the distance between the two points. 1. (2,-1), (2, 3) 2. (-5,-2), (0, -2) 3. (0, 6), (4, 9)…

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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: -3 -8 -2 -1- -2 -3-

A: From the given figure, the endpoints are -3, 4, -8, -3

Q: Find the equation of the straight line that best fits the data of the four points (0,1), (1,3),…

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

Q: In Exercises 47–49, plot the given point in a rectangular coordinate system. 47. (-1,3) 48. (2, -5)…

A: 47. (-1,3)

Q: Are the lines Perpendicular? Explain.(est review) 4 (4, 3) (-4, 2) 2 4. -2 (-5, –3) ▼ (0, -4) 2.

A: Known fact: The slope of line joining two points x1,y1  and x2,y2 is m=y2-y1x2-x1. Two lines are…

Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Calculate the direction of P₁P2 and the midpoint of line segment P1P2- P 1(3, 4, 6) and P 2(6, 0, 1)…

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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: Plot the points (– 5, – 1), (– 1, – 3), (4, – 4), (0, – 5) onto the coordinate plane below. 4 -6 -5…

A: The value of x is positive in the first and the fourth quadrant and negative in the remaining…

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Q: Find the distance between the pair of points. 6 (-) m () 6 -5.13 and 5, 13

A: Here given p[oints as Use the distance formula between two points which states

Q: What are the coordinates of the y-intercept of the equation 5x - 3y = 2? (0, 2/5) (0, 5/3) (0,3/5)…

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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: Plot the given points in a coordinate plane.

A: Point A - (-5, 0) Point B - (2, 0) Point C - (2.6, -1.3) Point D - (-2.5, 3.5)

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)