9. Find the exact distance between the line 6x – y = -3 and the point (6,2). Show your work. Explain your answer.

Q: 5, 7)

A: distance = x2-x12+y2-y12

Q: 9. Write the equation for the line perpendicular to the line y = -3x + 2, through the point (4,-2).…

A: To determine: The equation of the line perpendicular to the line y  = -3x +2  passing through the…

Q: What is the distance between points A=(2,5)A=(2,5) and C=(−3,2.5)C=(-3,2.5)?

A: Given:A= (2,5) and C= (-3,2.5)

Q: Find the distance from the point (1, −3, 6) to the x-axis.

A:

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 distance between the points. (8, 7), (0, 22).

A:

Q: Find the distance between two parallel lines y = 2/3x +7 and -2x+3y=12

A:

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Please solve and show your work

A: The given points are

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.