Find parametric equation of the line passing through point (4, 2) parallel to vector v→=−i^+5j^

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Find parametric equation of the line passing through point (4, 2) parallel to vector  v→=−i^+5j^

Susan Yang · Accepted Answer

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

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

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