Give parametric equations that generate the line with slope -2

ArcactCatmedeq8

ArcactCatmedeq8

Answered question

2021-12-02

Give parametric equations that generate the line with slope -2 passing through (1, 3).

Answer & Explanation

Poul1963

Poul1963

Beginner2021-12-03Added 15 answers

Step 1
Concept:
The calculus helps in understanding the changes between values that are related by a function. It is used in different areas such as physics, biology and sociology and so on. The calculus is the language of engineers, scientists and economics.
Step 2
Given:
Slope =2
The given point is (1,3)
The objective is to give the parametric equation that generate the line with the given slope and the point
Step 3
It is known that the line passing through the point (x0, y0) and having the slope ba then the parametric equations of such a line are as follows
x=x0+at, y=y0+bt, <t<(x0, y0)=(1, 3)
Since slope ba=21
Hence x=1+t, y=32t, <t<
Step 4
(x0, y0)=(1, 3)
Since slope ba=21
Hence x=1+t, y=32t, <t<
are the parametric equations of the required line

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