Q5. State the slope and y-intercept ... [FREE SOLUTION]

Chapter 2: Q5. (page 78)

State the slope and y-intercept of the graph of each equation.
$3 x + 2 y - 10 = 0$

Short Answer

Expert verified

The slope of the given line is $- \frac{3}{2}$ and the y-intercept of the given line is 5.

Step by step solution

– State the concept

The general equation of a straight line in slope-intercept form is given as $y = m x + c$ , where $m$ is the slope and $c$ is the y-intercept.

– List the given data

The given equation of the line is $3 x + 2 y - 10 = 0$ .

– Identify the slope and intercept

$3 x + 2 y - 10 = 0$ (Given equation)

$3 x + 2 y - 10 - 2 y = 0 - 2 y$ (Subtract $2 y$ from both sides)

$3 x - 10 = - 2 y$ (Simplify)

$- 2 y = 3 x - 10$ (Rearrange)

$\frac{- 2 y}{- 2} = \frac{3 x - 10}{- 2}$ (Divide both sides by -2)

$y = - \frac{3}{2} x + 5$ (Simplify)

So, the given equation in slope-intercept form is $y = - \frac{3}{2} x + 5$ .

Comparing the obtained equation with $y = m x + c$ , $m = - \frac{3}{2}$ and $c = 5$ .

This implies that the slope of the given line is $- \frac{3}{2}$ and the y-intercept of the given line is 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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Column A	Column B
Cost of one apple	Cost of one banana

91影视

State the slope and y-intercept of the graph of each equation.
$3 x + 2 y - 10 = 0$

Short Answer

Step by step solution

– State the concept

– List the given data

– Identify the slope and intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Geometry

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

91影视

State the slope and y-intercept of the graph of each equation.3x+2y-10=0

Short Answer

Step by step solution

– State the concept

– List the given data

– Identify the slope and intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Geometry

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

State the slope and y-intercept of the graph of each equation.
$3 x + 2 y - 10 = 0$