Q28. Determine the value of r so that... [FREE SOLUTION]

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Chapter 2: Q28. (page 72)

Determine the value of r so that the line through $(5, r)$ and $(2, 3)$ has slope $2 .$

Short Answer

Expert verified

The value of r is $9$ .

Step by step solution

Step 1- Given information

A pair of points $(5, r), (2, 3)$ and slope(m) is $2$ .

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 $(x_{1}, y_{1}), (x_{2}, y_{2}) and x_{1} 鈮� x_{2} .$

Step 3- To find the slope

Here, $(x_{1}, y_{1}) = (5, r) {and (x}_{2}, y_{2}) = (2, 3)$

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

$\begin{array}{l} 鈬� 2 = \frac{3 - r}{2 - 5} \\ 鈬� 2 = \frac{3 - r}{- 3} \\ 鈬� 鈭� 6 = 3 - r \\ 鈬� r = 3 + 6 \\ 鈬� r = 9 \end{array}$

Hence, the value of r is $9$ .

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Column A	Column B
$\frac{1}{4}$	$\frac{1}{m} - \frac{1}{4}$

91影视

Determine the value of r so that the line through $(5, r)$ and $(2, 3)$ has slope $2 .$

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.

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91影视

Determine the value of r so that the line through 5,r and 2,3has slope2.

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

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Mechanics Maths

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

Determine the value of r so that the line through $(5, r)$ and $(2, 3)$ has slope $2 .$