Find parametric equation of the line passing through point (4,\

Weltideepq 2021-12-04 Answered
Find parametric equation of the line passing through point (4, 2) parallel to vector
v=i^+5j^
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Expert Answer

Susan Yang
Answered 2021-12-05 Author has 20 answers

Step 1
Given:
A line passes through the point (4, 2)
The line is parallel to the direction vector v=i^+5j^
We want to find the parametric equations of the line passing through (4, 2) and parallel to the vector
v=i^+5j^
The parametric equations for a line though the point (x0, y0) and parallel to direction vector a, b is given by
x=x0+at and y=y0+bt
Step 2
In the given problem, we have (x0, y0)=(4, 2) and a, b=1, 5
Since x=x0+at ask is a parametric equation ,we can replace values of x0 and a in the parametric equation.
Hence
x=x0+at
x=4+(1)t
x=4t
Now y=y0+b task is a parametric equation, we can replace values of y0 and b in the parametric equation.
Hence
y=y0+bt
y=2+(5)t

y=2+5t
Hence x=4t and y=2+5t are parametric equations for the line passing through the point (4, 2) and parallel to the vector v=i^+5j^

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