Find parametric equations for the curve with the given properties. The line with slope \frac{1}{2}, passing through (4,-1)

nitraiddQ

nitraiddQ

Answered question

2021-04-14

Find parametric equations for the curve with the given properties.
The line with slope 12, passing through (4,-1)

Answer & Explanation

likvau

likvau

Skilled2021-04-16Added 75 answers

To find the parametric equation of the line with slope 12 passing through (4,-1)
Given slope m=yx=ysxs=12
xs=2,ys=1
Also (x1,y1)=(4,1)
The parametric equations of the line is given by
x=x1+xst
y=y1+yst
Substituting the values we have
x=x1+xst=4+2t
y=y1+yst=1+t=t1
Hence x=2t+4, y=t-1 are the required parametric equations.

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