Chapter 4: Q3. (page 275)

Write an equation in point slope-intercept form that passes through the given point and has the given slope.
$(- 4, 2)$ , slope $- 3$

Short Answer

Expert verified

The required equation is represented by $y = - 3 x - 10$ .

Step by step solution

Step 1. Determine the formula that can be used.

The standard form associated with forms which are slope and point related to the line that is straight is $y - y_{1} = m (x - x_{1})$ in which the representation of the slope is m and the representation of the point which represents the travelling of the line is $(x_{1}, y_{1})$ can be used to calculate the required equation.

Step 2. Take the help of the obtained method.

Take the help of obtained standard form represented by $y - y_{1} = m (x - x_{1})$ in which the required values can be filled by using the provided point as it is in the form of $(x_{1}, y_{1})$ and the slope.

$\begin{matrix} y - 2 = - 3 (x - (- 4)) \\ y = - 3 x - 12 + 2 \\ y = - 3 x - 10 \end{matrix}$

Step 3. Write the conclusion.

The obtained equation is $y = - 3 x - 10$ so it is the required equation.

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 in point slope-intercept form that passes through the given point and has the given slope.
$(- 4, 2)$ , slope $- 3$

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Discrete Mathematics

Probability and Statistics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Write an equation in point slope-intercept form that passes through the given point and has the given slope. −4,2, slope−3

Short Answer

Step by step solution

Step 1. Determine the formula that can be used.

Step 2. Take the help of the obtained method.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Discrete Mathematics

Probability and Statistics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Write an equation in point slope-intercept form that passes through the given point and has the given slope.
$(- 4, 2)$ , slope $- 3$