Chapter 3: Q 3.52. (page 282)

Find the equation of a line with slope $m = - \frac{3}{4}$ , and containing the point $(4, - 7)$ .

Short Answer

Expert verified

The equation is $y = - \frac{3}{4} x - 4$ .

Step by step solution

Step 1. Use the point-slope form

The point-slope form of an equation of a line with slope $m$ and containing the point $(x_{1}, y_{1})$ is $y - y_{1} = m (x - x_{1})$ .

Step 2. Identify the slope and the point

The slope is:

$m = - \frac{3}{4}$

The point is:

$(x_{1}, y_{1}) = (4, - 7)$

Step 3. Substitute the values into the point-slope form

$y - y_{1} = m (x - x_{1}) y - (- 7) = - \frac{3}{4} (x - 4) y + 7 = - \frac{3}{4} x + 3 y = - \frac{3}{4} x - 4$

The equation of line is $y = - \frac{3}{4} x - 4$

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 a line with slope $m = - \frac{3}{4}$ , and containing the point $(4, - 7)$ .

Short Answer

Step by step solution

Step 1. Use the point-slope form

Step 2. Identify the slope and the point

Step 3. Substitute the values into the point-slope form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Calculus

Mechanics Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the equation of a line with slopem=-34, and containing the point(4,-7).

Short Answer

Step by step solution

Step 1. Use the point-slope form

Step 2. Identify the slope and the point

Step 3. Substitute the values into the point-slope form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Calculus

Mechanics Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the equation of a line with slope $m = - \frac{3}{4}$ , and containing the point $(4, - 7)$ .