Chapter 3: Q. 115 (page 276)

Graph the line of equation $3 x - 2 y = 4$ using its slope and y-intercept.

Short Answer

Expert verified

The slope of equation is $\frac{2}{3}$ and the y-intercept is $(0, - \frac{4}{3})$ and the graph is plotted below:

Step by step solution

Step 1. Given information

The equation of a line is given as $2 x - 3 y = 4$

Step 2. Identify the slope

The slope intercept form is as $y = m x + b$ where $m$ is the slope and $(0, b)$ is the y-intercept.

The given equation is converted into slope intercept form as:

$2 x - 3 y = 4 - 3 y = - 2 x + 4 y = \frac{2}{3} x - \frac{4}{3}$

Hence slope of equation $y = \frac{2}{3} x - \frac{4}{3}$ is $\frac{2}{3}$ .

Step 3. Identify the y-intercept

The y-intercept of equation $y = \frac{2}{3} x - \frac{4}{3}$ is $(0, - \frac{4}{3})$ .

Step 4. Graph the equation.

The graph of equation $2 x - 3 y = 4$ with slope $\frac{2}{3}$ and y-intercept $- \frac{4}{3}$ is plotted below:

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.

Graph the line of equation $3 x - 2 y = 4$ using its slope and y-intercept.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the slope

Step 3. Identify the y-intercept

Step 4. Graph the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Applied Mathematics

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Graph the line of equation 3x-2y=4using its slope and y-intercept.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Identify the slope

Step 3. Identify the y-intercept

Step 4. Graph the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Applied Mathematics

Probability and Statistics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

Graph the line of equation $3 x - 2 y = 4$ using its slope and y-intercept.