Find an equation of the line that passes through the given points. (Le (-1, -2) and (7, -6)

Q: Find an equation of the line that satisfies the given conditions. Through (3, 9); parallel to the…

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Q: Find an equation of the line passing through the given points. (1, 2), (8, 2)

A: we want to find the equation of line passing through the given points 1,2and 8,2equation of line…

Q: Find an equation of the line passing through the given points. (2,5), (2, 2)

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Q: Select each point that is on the line given by the equation below. y=²x-3 (-12,-5) (6,-4) (0, 3)…

A: Given  y=16x-3 We need to check the given points are on line or not.

Q: Find an equation of the line that passes through the given points. (-2,1) and (1,10) The equation is…

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Q: Find an equation of the line described. Leave the solution in the form Ax + By = C. The line…

A: Given data÷ Points÷ -3,6 and 3,-1   Equation of line having two points is given by÷ Points÷ x1,y1…

Q: (-6, 4), (4, 9)

A: We have to solve

Q: Find an equation of the line that contains the given pair. (-9,7) , (-7,-5)

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Q: Find an equation of the line that passes through the points. Then sketch the line. (2, 5), (2, 7)

A: Given: (2, 5), (2, 7)

Q: [4-R] [CLO 6] Solve the equation (x − 3)(x + 2) (x+1)(x − 2)(x − 4) 0.

A: The given equation is, x-3x+2x+1x-2x-4=0. To solve the equation: We can cross-multiply the term.…

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.