The coordinates of point A are (6, -3) and the coordinates of point B are (-2, -1). Lị is the line which passes through A and B. (a) Find the equation of L1. Point M is the midpoint of [AB]. The line L2 is perpendicular to L, and passes through M. (b) Find the equation of L2.

Q: 5y+2x=-10 Give the equation of the line parallel to Line 1 which passes through (-9,6) Perpendicular…

A: I have solved step by step in detail...go through the solution

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: Q5) Find the equation of the horizontal line that passes through (-9,5). Write the resulting…

A:

Q: Write an equation of the line perpendicular to the line y = 3x − 7 at (5, 8).

A:

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

A:

Q: The x-coordinate of a point P is twice it's y- coordinate .If P is equidistant from Q(2,-5) and R…

A:

Q: Containing the points (-3,4) and (2,5)

A: The points are (-3, 4) and (2,5). The equation of line in slope-intercept form is given as…

Q: The coordinates of the mid-point of line PQ are (8,-1).The coordinates of P are (S,-5).Determine the…

A:

Q: Find an equation for the line tangent to y = -5-4x² at (-4,-69).

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.