10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line t contains the points (4, 3) and (0, b). If lines r and t are parallel, which of the following is a possible value of b?

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: 3. Prove that if P, Q, and R are three points on a line, then exactly one of the points is between…

A:

Q: If the line passing through the points (a, 1) and (−14, 9) is parallel to the line passing through…

A: The given points are

Q: 1. Show that the lines having the equations 4x- 3y + 12 = 0 and 8x 6y + 15 = 0 are parallel.

A:

Q: Which is the equation of a line that has a slooe of 4 and passes through point (1, 6)? O y- 4x - 2…

A: Given Line passing through 1,6 slopem=4

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

A:

Q: 26. Determine the table of values that represent the green line in the coordinate plane below. -2 6.…

A: Two lines red and green To find: Coordinates of green line=??

Q: Determine the point of intersection of the lines. 4:[x, y, z]=[-3, 1, 4]+s[-1, 1, 4] (2:[x, y, z] =…

A: Let (a,b,c) denote the point of intersection So, For l1a=-3-s0b=1+s0c = 4+4s0For l2,a =…

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: Determine the equations of the line through P(-1,2, 1) and parallel to the line of meek section of…

A: Given P(-1,2,1) and parallel to the line of intersection of the planes 2x+y+z=2, x+2y+z=10

Q: 5. What is the equation of the line joining the points (-8, 0) and (-1, 3)? Oy=7/3 x+ 56/3 Oy=7/3 x-…

A:

Q: 12 The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when m is %3D 1)을…

A:

Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: 15. Find the angle between the straight lines I, and l, which are defined by x-2 y+1 =1-z. 4:x=1+2t,…

A: The angle is, 85.75°  The detailed solution is as follows below:

Q: 9. Determine the point of intersection of the following two lines: L₁: (x, y, z) = (1, 2, 1) + t(3,…

A: Find value of parametric by equating L1  and L2.

Q: 7. Which equation is for the line passing through the points (0, 2) and (3, 8) ? * O y = 2x + 2 O y…

A:

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (7,6) ,…

A: Given:

Q: If M is the midpoint of the line segment joining points A and B, and A is the point (-2 , 1) and M…

A:

Q: 2*Find an equation of the line that satisfies the given conditions. Through  (−5, 5);…

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Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

A:

Q: Find K so that the line through( 1, 5 )and( K, 8) is a) parallel to 4y -3X =7 and b) perpendicular…

A: compute the equation of a line joining (1,5) and (k,8) by using below formula.

Q: The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X…

A: The intersection of two planes is a line. The intersection of 2 lines is a point The intersection of…

Q: Do the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 - If not, how do you know? t) and (x, y, z) = (13 – 3r,…

A:

Q: The equation of the line segment from A(3, – 4,4) to B(5,2,5), 0<t<1 is a. r= (3+ 2t)i +(- 4+6t)j+(4…

A: Topic = vector  correct option 'a'

Q: 8) through: (3, 4), perp. to y -2x-4 7) through: (-5, 5), perp. to y=x-4 9) through: (4, 4),…

A: Note: You didn't mention what to do about the question. But seeing the question it seems to find the…

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…

A:

Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

A:

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 .B O 16/77 .c O 56 3…

A:

Q: Please help!

A: Let the slope of required line is m and slope of line joining (-1,-2) and (5,3) is m1 which can be…

Q: If M(3, 10) is the midpoint of the line segment AB and if A has coordinates (−1, 2), find the…

A:

Q: Which of the following lines is perpendicular to the line   y  =  12x + 1   and contains the point…

A: Given line is y=12x+1 And the point is (2, -2)   By comparing the equation of line y=12x+1 with…

Q: 17. What is the equation of the line that passes through (-5, 0) and (4, 3)? 5. y--5 Oy 3x+15…

A:

Q: Show that the line joining the points P(0,1,2) and Q(3,4,8) is parallel to the line joining the…

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Q: What is the general equation of a line given the points P(1,3) and Q(4,7)? O 4x-3y+5=0. O 4x+5y+3=0…

A:

Q: The equations of three lines are given below. Line 1: 6x+10y 2 Line 2: 3y=-5x+7 Line 3: y=- -3 3 For…

A:

Q: 20. Consider lines €1 and l2. l1 : [x, y] = [1, 4] + [[-7, 2] l2 : [x, y] = [-2, 6] + t[k, 9] a) For…

A: We know that two lines are parallel if their slope are equal and perpendicular if the product of…

Q: 6) Zyia claims that (2,1) is the point of intersection of the lines y = 5x - 3 and y = -4x + 6 . Is…

A:

Q: 5. Find the point of intersection of the following lines x = 4t +2, y = 3, z = -t +2 b. x = 2s +6, y…

A: Given query is to find the point of intersection of line a and line b.

Q: Compute x2z ds where Cis the line segment from (0,6,-1) to (4,1,5). 7 6 .A O 56 77.B 16/77 .c O 56 3…

A: The line segment is from 4,1,5 to 0,6,-1 . Hence, this line is parallel to the vector, 4,1,5-0,6,-1…

Q: 7) through: (-5, 5), perp. to y=x- 4 8) through: (3, 4), perp. to y =-2x- 4 9) through: (4, 4),…

A:

Q: Find a perpendicular line that passes through the given point (6,4); y 3x- 2 %3D O y = 1/3 x-6 O y =…

A:

Q: Is the line that contains the points P1(−3, 1) and P2(1, 3) perpendicular to the line that…

A: We can check the line joining the points are perpendicular or not as per the concepts as below.

Q: 2) 3 Consider the line y = -x + 5. Write the equation of the line perpendicular to the given line…

A: Now comparing this line with y = mx+c, we get

Q: If C is the straight line from (1,1,1) to (2,1,2) find 2xlnzdx + 2y²zdy + y³dz.

A:

Q: Show the lines (x, y, z) = (5 + 2t, 3 + 2t, 1 – t) and (x, y, z) = (13 – 3r, 13 + 2r, 4 + 4r) are…

A: Given:- Show the lines (x, y, z) = (5 + 2t, 3+2t, 1- t) and (x, y, z)= (13-3r, 13 + 2r, 4 + 4r) are…

Q: Let M(4, –5) be the midpoint of a line segment joining two points A and B. If the coordinates of A…

A:

Q: suppose that l and m are two lines. then the number of points in l intersect m is either 0, 1, or…

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Q: suppose I tell you that the line ax+5y=7 is parallel to the line 4x-2y=11. What is a?

A: Given equation of the line 4x -2y = 11   .......(1)and another line 9x+5y = 7 .....(2)we find the…

Q: Suppose that the two lines ay= x-y and 2/ax+3y=1 are parallel. What must be the value for a?

A: First of all, consider general equation for the straight line. Also consider the given equations.