Find the directed distance from the given line to the given point. (-1, 6) (5, 4) (10, 8) (1, 2) (7,9) a. 2x - y = 5; b. V3x - vZy - 8 = 0; c. 7x-4y + 6 = 0; d. 9x + 7y –15 = 0; 15x – 13y - 21 = 0; с. е.

Q: 5. Consider the line segment AB shown below. The points A = (1, h) and B (5, 7) are equidistant from…

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Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: 8. Find the point (x. y) such that (1, 3) is the midpoint of the line segment connecting a. (x, y)…

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Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: The vertices of a rectangle are R(-5,-5), S(-1, -5), T(-1, 1) and U(-5, 1). After translation, R' is…

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Q: and PARALLEL to the given line. 2. (-2, 3); y = -x + 4 Y-3ニ-11×+2)

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

Q: Find the equation of the line joining the points (2, 3) and (4, 7) . Find the equation of the line…

A: image is attached

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: 1. Write the line parallel to y = -2x + 5 that passes through the point (1,1). a. y = -2x + 1 b. y…

A: Question 1 - The equation of line is given as - y = -2x + 5 Comparing the above line with the…

Q: Find the y-intercept of the line 2x+3y-6=0 as a point O a. None O b. (0,2) O c. (2,3) O d. (0,3)

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Q: Match each line with a perpendicular line. A. y = 5x +2 1. the line through (2, 12) and (17, 9) В.…

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Q: 10. a. Plot the point (-1, 3) and graph a line through the point with a slope of 2. b. Explain how…

A: The given point -1,3 and the line through the point with a slope of 2. Transformation of functions:…

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

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Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: Find a parallel line that passes through the given p (3, 4), y = 2x - 7 O y = 2x +2 O y= 1/2x + 2 O…

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Q: 7. Find the equation of the line joining the points (5, 9) and (-4, -6)

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Q: 25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2]…

A: The given equations are in parametric form. To find x-intercept put y=0 and get the value of…

Q: 18.) Which is not a point on the equation -2x - 3y + 5z = 7? a. (1,2,3) b. (-2,-3,5) c. (-2,4,3)…

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Q: Determine the distance between the point (8,-2,-1)and the line (x, y, z) = (-1,4,-3) + k(5,-4,-2),…

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Q: 38. Given two lines, determine if the lines intersect, if the lines are parallel, or if they are…

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