Chapter 2: Q27. (page 72)

Determine the value of r so that the line through $(6, r)$ and $(9, 2)$ has slope $\frac{1}{3} .$

Short Answer

Expert verified

The value of ris 1.

Step by step solution

Step 1- Given information

A pair of points $(6, r), (9, 2)$ and slope(m) is $\frac{1}{3}$ .

Step 2- Formula used

The slope formula of a line is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Where, m is slope of the line which is passes through the points localid="1647009885899" $(x_{1}, y_{1}), (x_{2}, y_{2}) and x_{1} \neq x_{2} .$

Step 3- To find the slope

Here, $(x_{1}, y_{1}) = (6, r) {and (x}_{2}, y_{2}) = (9, 2)$

So, $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$\begin{array}{l} \Rightarrow \frac{1}{3} = \frac{2 - r}{9 - 6} \\ \Rightarrow \frac{1}{3} = \frac{2 - r}{3} \\ \Rightarrow 1 = 2 - r \\ \Rightarrow r = 1 \end{array}$

Hence, the value of r is 1.

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Determine the value of r so that the line through $(6, r)$ and $(9, 2)$ has slope $\frac{1}{3} .$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

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Column A	Column B
The slope of linem	1

Determine the value of r so that the line through 6,rand 9,2has slope 13.

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

One App. One Place for Learning.

Most popular questions from this chapter

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Determine the value of r so that the line through $(6, r)$ and $(9, 2)$ has slope $\frac{1}{3} .$