Chapter 4: Q. 698 (page 576)

Find the equation of each line. Write the equation in slope–intercept form.
698. $m = 2$ , point $(- 3, - 1)$ .

Short Answer

Expert verified

The equation of a line with $m = 2$ and point $(- 3, - 1)$ in the slope-intercept form is $y = 2 x + 5$ .

Step by step solution

Step 1. Given information.

The slope of a line is, $m = 2$ and a point is $(- 3, - 1)$ .

Step 2. The equation of the given line.

Substitute $m = 2$ in $(x_{1}, y_{1}) = (- 3, - 1)$ in $(y - y_{1}) = m (x - x_{1})$ .

$y - (- 1) = 2 [x - (- 3)] y + 1 = 2 (x + 3)$

Step 3. The slope-intercept form of the given line.

The slope intercept form of a line is $y = m x + b$ , where m is the slope and b is the y-intercept.

So the slope-intercept form of the given line is

$y + 1 = 2 (x + 3) y + 1 = 2 x + 6 y = 2 x + 6 - 1 y = 2 x + 5$

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.

Find the equation of each line. Write the equation in slope–intercept form.
698. $m = 2$ , point $(- 3, - 1)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The equation of the given line.

Step 3. The slope-intercept form of the given line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Geometry

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

x	y	(x,y)
0
2
-1

Find the equation of each line. Write the equation in slope–intercept form.698.m=2, point(-3,-1).

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The equation of the given line.

Step 3. The slope-intercept form of the given line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Geometry

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the equation of each line. Write the equation in slope–intercept form.
698. $m = 2$ , point $(- 3, - 1)$ .