Find parametric equations for the line that passes through the point (3, 6) and is parallel to the line y = −5/2x − 4. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)

Q: a) Find the best straight line fit to the given data points (-3,7), (1,–1),and (3,–7). b) Find the…

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 -…

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1   From y = y1 + t(y2 - y1) we get:…

Q: Eliminate the parameter from the parametric equations to find the rectangular equation for the…

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Q: Find parametric equation for the lines .. The line through (0, -7, 0) perpendicular to the plane x +…

A: A parametric equation of a line can be written if a point on the line is given and a vector parallel…

Q: find parametric equations for the given curve. y = 8x2 − 3x

A: Given- y=8x2-3x To find- Parametric equations for the given above curve.

Q: Find the symmetric and parametric equations of the line containing the origin and is perpendicular…

A: .

Q: Find parametric equations for the line through Po= (3, -1, 1) perpendicular to the plane 3x + 5 y -…

A: Given:  a Point Po =(3, -1, 1)  and a vector perpendicular to the plane is…

Q: Find a parametric equation of the line tangent to 7 (t) at the point (– 12, 144, – 4.159)

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Q: Find parametric equations for the line segment joining the points (5, 3) and (11, 11). x=t, y = 3 +…

A: Solution

Q: find parametric equations for the given curve. y = x2, translated so that the minimum occurs at…

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Q: x = 2t2 – C : 3t + 1 y = et²-1

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Q: Find the parametric equations for the line in which the planes -4x +y+3= = 5 and 2x+y+ = 3…

A: Given that:-4x+y+3z=5    .............(1)2x+y+z=3          ..............(2)

Q: Find parametric equations for the line segment joining the points (6, 2) and (9, 10). x=t, y 2+8t,…

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Q: Find a parametric form for the line through the point (8, –6, –3) and perpendicular to the plane 2x…

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Q: Find a parametric equation for the line through the point (-1,-1,2) and perpendicular to the plane…

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Q: Can someone help me out with this question?

A: On a horizontal line, the y value is fixed.  And x values are changing.

Q: Find parametric equations for the complete parabola x = y2. Answersare not unique.

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Q: Cannot solve

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Q: Find parametric equations for the line segment joining the points (9, 8) and (16, 11). O x=9+7t, y…

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Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…

A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval  [-4, 0]

Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: Find parametric equations and a parameter interval for the motion of a particle starting at the…

A: Given,

Q: Find the parametric equation of the line that passes through P(1, 0, -3) and is parallel to the line…

A: Given: We have to find the parametric equation of the line that passes through the point P(1, 0, -3)…

Q: Find the parametric equations of the line r = ⟨1, 2, 3⟩ + t(4, 0, -6⟩.

A: Given: r→=1,2,3+t4,0,-6 for any given vector equation of line r→=a,b,c+tp,q,r, parametric equation…

Q: Find parametric equations for the given curve. (x - 1)2 + ( y + 2)2 = 9

A: Given: x-12+y+22=32 for any given curve equation x-a2+y-b2=r2, parametric equation of curve is given…

Q: The graph of the curve described by the parametric equations x = 4t −1, y = 3t + 2 is a straight…

A: For a line passing through the point (a,b) and parallel to the vector (c,d) its parametric equation…

Q: Q2:- Find the parametric equations for the following Cartesian equations. 1) x=(/y² + 4 + 2) 2) 4x2…

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2):x = x1 + t(x2 - x1)…

A: Given: the parametric equations of the line through (x1, y1) and (x2, y2)x=x1+t…

Q: Find a parametric equation for the line through the point ( – 1, – 1,2) and perpendicular to the…

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Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

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Q: s) Find the parametric equations of the line that is perpendicular to the plane 2x +y+3z = 4 through…

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Q: Find the parametric equations for the line through the point (5, 2, 9) and perpendicular to the…

A: The parametric equation of a line passing through the point and has a direction cosines <a , b…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +…

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Q: Find parametric equations, in terms of t, of the line passing through (2, 2, 12) and parallel to the…

A: Given: The line is passing through 2,2,12. Also, it is parallel to the line: x=5-9ty=2z=4+t The…

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

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Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: Find the parametric equation of the line of intersection of two planes correctly: P1:x+3y+5z=0 and…

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Q: Find the parametric equations of the line segment through the origin and perpendicular to the plane…

A: Given: Given equation of the plane is x-2y+3z=5 We want to find the parametric equations of the line…

Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

Q: Find parametric equations for the line segment joining the points (-6, 4) and (2, 3). x=-6 + 8t, y =…

A: Parametric equation of line segment.

Q: Find the parametric equation of the line tangent to the curve of intersection of the cylinder…

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Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

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Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…

Q: Find parametric equations of the line through (-2, –1, 3) that is parallel to 2i – 3j+k. x(t) = %3D…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Find the slope of the line whose parametric equations are x=4t+6 and y=t-1

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Q: Given the parametric curve: x = t3-6t2 y = t2-4t What are all the points that the curve passes…

A: Given: the parametric curve:

Q: Find parametric equations for the line through (8,4,6) parallel to the x-axis. X = y = - o <t< ∞

A: The equation passing through point (8,4,6). The parametric equation passing through point (8,4,6)…

Q: find parametric equations for the given curve. 4x − y2 = 5

A: Given curve is:

Q: Find a set of parametric equations for the rectangular equation that s y = 2x – 3, t = 0 at the…

A: let x = t + a put all the given points to find out the value if a x = 4 and t = 0 4 = 0 + a a = 4 so…