The parametric equations x = X + (x2- x)t, y= Y1+ (Y2-Y)t where 0 sts1 describe the line segment that joins the points P,(x,, Y,) and P,(x2, Y2). Use a graphing device to draw the triangle with vertices A(1, 1), B(4, 4), C(1, 6). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of equations. Let x and y be in terms of t.)

Q: Develop vector and parametric equations for the line through (7,2,-1) and parallel to r = (4,7,0) +…

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Q: 7. A line has equation /:*-=-= 1:*=1==32₁2=3 x-1 y-2 -,Z=3 z a) Write the parametric equation for…

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Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: Complete the parametric equations for the line where the planes - 6x - y + 11z = -34 and - 4x + 2y +…

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Q: how do you write in parametric form?

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Q: Q2/ Find the Parametric aned standand equatior of the line Hhat passer through Points (-2,1,0)…

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Q: 19) Find the equation for the line in 3-space passing through the points (2,5,3) and (3, -3, 7)…

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Q: A=(2,3,1) and G=(10,7,5) Write a parametric equation to describe the movement from A and G?

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Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

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Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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Q: A particle moves linearly from the point (- 2,4) to (10,0) in 4 seconds. Find parametric equations…

A: The given points are x1,y1=-2,4;x2,y2=10,0 So the slope is given by: m=y2-y1x2-x1=0-410--2=-13

Q: Determine parametric equations of the line of intersection of the planes x+2y+3z=4 and -2x+z=0. Then…

A: Let us consider two planes ax+by+cz+d=0 and a'x+b'y+c'z+d'=0  Intersection of two planes is line…

Q: Find the parametricequations of the line passing Through (-2,0,3) parallel to ū = 2i +49-2R.

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Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

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Q: A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line…

A: As we given that equation of the line passing through the point (x0,y0,z0) and parallel to another…

Q: draw the line which start point (1,1,0) and end point (3,4,0)by using parametric equation

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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.