The point on the line y= 2x+3 that is closest to the point (4,2) is (a,b). Then 5b – 20a= O a. 2 O b. 3 Ос. 5

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B. %3D

A: Consider the given vector as AB→=-7i+3j+8k and point A-2,-3,6

Q: Is the point (2,12) on the line y =5x-2

A: If point satisfied line equation then lie on line otherwise not

Q: Reflect (6, -3) over the line y = x. А. (6, 3) О в. (-3, 6) Oc. С. (6, -3) O D. (3,-6)

A: Reflection of point about a line

Q: Determine which of the points (-5,5), (2, −2), and (−2,−1) lie on both the lines x₁ + 4x2 = = -6 and…

A:

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: Identify each point on the line y = -3x + 5. O(1, 8) (0, 5) 4 (2. 11) (2. -4) 0 (1.-1) O(3.2)

A:

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular

Q: Determine the midpoint C of the line segment AB connecting A (-3, 5.2) & B(4.6, -2.2).

A:

Q: The line parallel to y=-x-2, passing through the point (–4, 2).

A:

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

A:

Q: The distance between A(7,5) and B(-3,-1) is

A: The distance between two is computed as follows, Note: The distance between two points x1,y1  and…

Q: Find the values of x and y that make the red lines parallel and the blue lines parallel

A: we have to find angle x and y  from the following figure.

Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: Plot the points:   A(-3, 5), B(2, -4), C(5, 0), D(-5, -3), E(0, 4), and F(0, 0).

A: Given Data The point are A(-3,5), B(2,-4), C(5,0), D(-5,-3), E(0,4), and F(0,0).   There are two…

Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: Plot and then label the points A(0, - 3), B(3, - 4), C(5, 6), D(- 2, - 5), and E(- 3, 5).

A: Given the pouints are A(0,-3),B(3,-4),C(5,6),D(-2,-5) and E(-3,5).

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)

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.