Chapter 4: Q26. (page 271)

Write an equation of the line that passes through the given points.
$(2, 4), (7, 2)$

Short Answer

Expert verified

The required equation is represented by $y = \frac{- 2}{5} x + \frac{24}{5}$ .

Step by step solution

Step 1. Determine the formula that can be used.

The standard form associated with line that is having a travel through points which are two in count $y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$ can be used to calculate the required equation.

Step 2. Take the help of the obtained method.

Take the help of obtained standard form represented by $y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$ in which the required values can be filled by using the provided points as they are in the form of $(x_{1}, y_{1})$ $(x_{2}, y_{2})$ .

$y - 4 = \frac{2 - 4}{7 - 2} (x - 2) y - 4 = \frac{- 2}{5} (x - 2) y = \frac{- 2}{5} x + \frac{4}{5} + 4 y = \frac{- 2}{5} x + \frac{24}{5}$

Step 3. Write the conclusion.

The obtained equation is $y = \frac{- 2}{5} x + \frac{24}{5}$ so it is the required equation.

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Write an equation of the line that passes through the given points.
$(2, 4), (7, 2)$

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

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Write an equation of the line that passes through the given points. 2,4,7,2

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Decision Maths

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Write an equation of the line that passes through the given points.
$(2, 4), (7, 2)$