Chapter 4: Q 36. (page 272)

Write the given equation of line in slope-intercept form.
$y - 12 = - 2 (x - 3)$

Short Answer

Expert verified

The equation of the line in slope-intercept form is $y = - 2 x + 18$

Step by step solution

Step 1. Slope-intercept form of an equation of a line:

The slope-intercept form of an equation of a line is given by,

$y = m x + b$

Where, slope $= m$ , and, $y -$ axis intercept $= b$ .

Step 2. Change the equation in slope-intercept form.

$\begin{matrix} y - 12 = - 2 (x - 3) \\ y - 12 = - 2 x + 6 \\ y = - 2 x + 6 + 12 \\ y = - 2 x + 18 \end{matrix}$

This equation is in slope-intercept form $y = m x + b$ , where $m = - 2$ and $b = 18$ .

Therefore, the equation of the line in slope-intercept form is $y = - 2 x + 18$ .

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.

Days Since Sale Began	1	2	3	4	5	6	7
Daily Sales ( $$$ )	15	21	32	30	40	38	51

Write the given equation of line in slope-intercept form.
$y - 12 = - 2 (x - 3)$

Short Answer

Step by step solution

Step 1. Slope-intercept form of an equation of a line:

Step 2. Change the equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Calculus

Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the given equation of line in slope-intercept form.y-12=-2(x-3)

Short Answer

Step by step solution

Step 1. Slope-intercept form of an equation of a line:

Step 2. Change the equation in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Calculus

Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Write the given equation of line in slope-intercept form.
$y - 12 = - 2 (x - 3)$