A boat moving along a straight line with equation -2.5x + y = 3. What is the y-coordinate if the x-coordinate is 10?

Q: Put this equation into slopeintercept form. 6x+12y=9. Please don't handwriting solution

A: The slope intercept form of a line is defined as : The point (x, y) on the line with slope m and…

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

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Q: Write an equation of a line with y-intercept at −9 and parallel to all horizontal lines.

A: Given Data: The y-intercept of the line is: b=-9 The required line is parallel to all horizontal…

Q: What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)? y =…

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Q: You were 20 inches tall when you was born, and 48 inches tall on your 8th birthday. Create a linear…

A: Let x = The number of years      y = The height in inchesWe have the point(0 , 20) →at birth the…

Q: Write an equation in general form for the line passing through(-12, -1) and perpendicular to the…

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Q: Write an equation of the line parallel to y-4x=7

A: Line equation is given that y - 4x = 7. We know that line equation is y = mx + c. Here i attached…

Q: Write an equation of the line through (1,2) and (5, 0).

A: To find the equation of the line through two points (1,2) and (5,0). Solution: We know that equation…

Q: Draw the relationship between two variables that move in opposite directions. y 10- 0- >>> Draw only…

A: When the two variables move in opposite direction, the slope change between the two variables will…

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.