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Question: Slope of line whose parametric equation is given by x = – 2 + \(\frac{r}{\sqrt{10}}\), y = 1 + \(\f...

Slope of line whose parametric equation is given by

x = – 2 + r10\frac{r}{\sqrt{10}}, y = 1 + 3r10\frac{3r}{\sqrt{10}} is :

A

–1

B

1

C

13\frac{1}{3}

D

3

Answer

3

Explanation

Solution

We have (x + 2) = r10\frac{r}{\sqrt{10}} & (y – 1) = 3r10\frac{3r}{\sqrt{10}}

Cartesian equation (y – 1) = 3(x + 2)

slope = 3