Chapter 4: Q9. (page 244)

Write an equation of the line with the given conditions.
$(- 1, 6), (2, 4)$ .

Short Answer

Expert verified

The equation of the straight line for the given condition is $y = \frac{- 2}{3} x + \frac{16}{3}$ .

Step by step solution

Step 1. State the concept of a straight line.

The standard form of slope and intercept form of the straight line is $y = m x + c$ .

Here, $m$ is the slope of the straight line and $c$ is the $y$ -intercept of the equation.

Step 2. State the equation of a line slope-point form.

The standard form of the two-point form of the straight line is $y - y_{1} = (\frac{y_{2} - y_{1}}{x_{2} - x_{1}}) (x - x_{1})$ .

Here, coordinates of two points from which the straight line passes.

$\begin{array}{l} (x_{1}, y_{1}) = (- 1, 6) \\ (x_{2}, y_{2}) = (2, 4) \end{array}$

Step 3. Substitute the values to get the required equation.

Substitute the above values in the equation $y - y_{1} = (\frac{y_{2} - y_{1}}{x_{2} - x_{1}}) (x - x_{1})$ .

$y - y_{1} = (\frac{y_{2} - y_{1}}{x_{2} - x_{1}}) (x - x_{1}) y - 6 = (\frac{4 - 6}{2 - (- 1)}) (x - (- 1)) y - 6 = \frac{- 2}{3} (x + 1) y = \frac{- 2}{3} x - \frac{2}{3} + 6 y = \frac{- 2}{3} x + \frac{16}{3}$

The equation of the straight line is $y = \frac{- 2}{3} x + \frac{16}{3}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Write an equation of the line with the given conditions.
$(- 1, 6), (2, 4)$ .

Short Answer

Step by step solution

Step 1. State the concept of a straight line.

Step 2. State the equation of a line slope-point form.

Step 3. Substitute the values to get the required equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Mechanics Maths

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Write an equation of the line with the given conditions.−1,6,2,4.

Short Answer

Step by step solution

Step 1. State the concept of a straight line.

Step 2. State the equation of a line slope-point form.

Step 3. Substitute the values to get the required equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Mechanics Maths

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Write an equation of the line with the given conditions.
$(- 1, 6), (2, 4)$ .