5- Find the distance from the point to the line. a. (0,0, 12); x = 4t, y = -2t, z = 2t b. (0, 0, 0); x = 5 + 3t, y = 5+4t, z= -3 - 5t

Q: Find an equation for the line.   (-4, 6) and parallel to y= -3 x + 4.

A: To determine the equation of the straight line having the same slope as the given line and passing…

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: Find the intersection of the line through (0, 0) and (7.5, 3) and the line through (7, 0) and (0,…

A:

Q: points

A: Please refer to the image below

Q: Which point below is on the line y: 2? (-2,0) (1.3) a. c. b. (-6,-4) d. 1/3

A: Solution-

Q: Determine the point where the lines x = 4t + 1, y = t - 9, z = 2t + 1 and x = 5s + 1, y = -s, z = 5s…

A: The given lines are:L1:    x=4t+1,   y=t-9,   z=2t+1L2:    x=5s+1,  y=-s,    z=5s-9

Q: Where a and b are real numbers, (a + b, a – 2b) is the point of intersection for the lines 3x 2x -…

A: We have, point a+b,a-2b is the point of intersection of lines 3x-2y=19 and 2x-5y=9. Therefore, such…

Q: Find the slope and y-intercept for the line y = -4x + 12. A slope = -4, y-intercept (0, 12) B slope…

A: The given line y=-4x+12

Q: A line contains the points (6, −3) and (3, 3). Find the coordinates of three other points on the…

A:

Q: Find the slope of the line through C(11, -5) and D(-8, 6).

A: Given : To determine the slope of the line through the points C11,-5 and D-8,6

Q: Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4,…

A: