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: 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: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

A:

Q: Which equation represents a line parallel to the line through A(0, 2) and B(1, 0)? O A. y= 2x+ 1 O…

A:

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: The plane through the points (-4,-8,-1), (8,3,5), (7,8,6) has equation Ax + By + Cz= D. If A = - 19…

A: Since plane passes through the given points therefore

Q: What is the equation of a line that is perpendicular to the line y = - x-1 and passes through the…

A:

Q: For all real numbers a and b, |a + b| < ]a| + |bl. Select one: OTrue False

A: Answer

Q: 1) Explain the four possible relationships between two lines in R. y+2 x+1 y+9 -14 z-4 2) Determine…

A:

Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21–…

A: Given

Q: Lines p and q are perpendicular. Line p is described by the equation 2x - 5y= 8. Line q passes…

A: Given that line p has the equation 2x-5y=8 and line q is perpendicular to line q. Line q passes…

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

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: Is the line through the points (3, 4) and (-1, 2) parallel to the line 2x + 3y = 0? Justify your…

A: Given two points: 3, 4 and -1, 2            ……1   Given line: 2x+3y=0                       ……2

Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

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: Suppose a line runs through two points: p=(3,2) and Q=(15,8) What the slop of the line

A: Given: A line passes through two points  P = 3, 2Q = 15, 8 To find: The slope of the line.

Q: This table gives a few (, y) pairs of a line in the coordinate plane. -38 40 -23 30 -8 20 What is…

A: To find the x-intercept first we have to find the equation of line that passes through these point…

Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

A:

Q: 36. Given two points A(-2,4) and B(x,-8), what must be the value of x so that a line passing through…

A:

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

A:

Q: the line through the points p and q is formed with "p + λ(q − p)." Why is the direction given by q-p…

A: The expression "p + λ(q - p)" represents a parametric equation for a line passing through points P…