If the point (a,4) is equidistant from the points A(5, -2) and B(3,4), find a. Explain.

Q: Sketch the points B = (-5, 0) and C= (-3, 3).

A: Given data: The first point given is B=(-5,0). The second point given is C=(-3, 3). The sketch of…

Q: Find the distance from point (3, -9, 8) to x = -7. Answer:

A: topic- distance distance of point (3,-9,8)  to x=-7 is 10

Q: Find the equation of the line parallel to ?= 2?+ 7 that passes through the point (1,8). Y=

A: The given equation of line is  y = 2x + 7 To find equation of parallel line passes through (1, 8)

Q: Which point is located 6 units from the point (-3,-2) on coordinate grid ?

A:

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: The three points (3,-5), (-a+2,3), and (2a+3,2) lie on the same line. What is a?

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: Which lines are parallel to y = −4x + 7?

A:

Q: The line through(2,2)parallelto y=-5 x+1 18.

A: first we find the slope and passing the point ,equation of the line

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

A:

Q: What point is two-thirds of the way from the origin to (5, -2)?

A: We have to find the coordinates of the point P which is two-thirds of the way from the origin O(0,…

Q: 1) Find the length of the line joining the following pairs of points: a. (1, 2), (4, 6) b. (3, 1),…

A:

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.