y2-y1 X2-X1 Find the slope of the line that passes through these two points. (1,1) (2, 10)

Q: Identify the slope intercept equation of a line that has a slope of 5 & y-intercept of (0,-2). y =…

A: Equation of line having slope m and y intercept c is y=mx+c.

Q: The points (-5, 7) and (-3, y) lie on the same straight line. --- If the slope of the line is -3,…

A: Slope of a line passing through the points x1,y1 and x2,y2 is given by y2-y1x2-x1 Here the points…

Q: (6,-2), (3,-12) find the slope, show the work

A: The formula of the slope is given as, m=y2-y1x2-x1 where x1,y1 are the coordinates of the first…

Q: Given (2,1) and (3,4) Find the slope of the straight line that passes through. Find the…

A: We will use the slope formula

Q: Find an equation of the line with the given slope that passes through the given point. Write the…

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Q: Find the slope of the line. AY 3 (3, 2) 21 -3-2 1 23x 2 (-3, 16 3, -2) slope =

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Q: Write the formula used to find the slope of the line passing through (x1, Y1) and (x2, Y2). Y2 - Yı…

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Q: Which graph best represents a line with an x-intercept of (- 1, 0) and a y-intercept of (0, 3)

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Q: 6 Find the equation of the line through the point (3, -1) and perpendicular to the line whose…

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Q: (5,10), (7,7) find the slope

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Q: Find the slope of the line passing through the points (a, 4a + 2) and (a + h, 4(a + 4h) +2). The…

A: Given,            The line passing through the points a,4a+2 and a+h,4a+4h+2.We know that,…

Q: A line with a slope of 4 that passes through the point (-14, 4). - Hint (b): A line with a slope of…

A: b)Given that,Slope of line =-34 and passes through the point (-14,4)as we know equation of line with…

Q: Find an equation in point-slope y – y, = m(x-x,) for the line through the given points. (- 4, – 9)…

A: Given points  (-4,-9) and (1,6) equation in point-slope y-y₁ = m(x-x₁)  Where m=(y2-y1)/(x2-x1)

Q: Write the equation of a line parallel to the line: 2 y = that goes through the point (-4, 4). Write…

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Q: What are the slope and y-intercept from the table below?

A: Given :         when  x = 1 , y = 8                   x = 2 , y = 6                   x = 3 , y =…

Q: Find an equation of the line parallel to the line y- 4x 8 and contains the poir || Write your answer…

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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.