Chapter 4: Q15. (page 244)

Write $y + 3 = \frac{1}{2} (x - 5)$ in standard form.

Short Answer

Expert verified

The equation of the straight line for the given condition is $y - (- 3) = \frac{1}{2} (x - 5)$ .

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 slope and point form of the straight line is $y - y_{1} = m (x - x_{1})$

Here $m$ is the slope of the straight line and is the point from which the straight line passes.

$(x_{1}, y_{1}) = (5, - 3) m = \frac{1}{2}$

Step 3. Simplify the equation to get the required equation.

Converting the given equation in the standard form.

$y + 3 = \frac{1}{2} (x - 5) y - (- 3) = \frac{1}{2} (x - 5)$

The equation of the straight line is $y - (- 3) = \frac{1}{2} (x - 5)$ .

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 $y + 3 = \frac{1}{2} (x - 5)$ in standard form.

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. Simplify the equation to get the required equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Decision Maths

Calculus

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Writey+3=12x−5in standard form.

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. Simplify the equation to get the required equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Decision Maths

Calculus

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Write $y + 3 = \frac{1}{2} (x - 5)$ in standard form.