Chapter 1: Q. 14 (page 24)

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.
$y = 3 x - 9$ .

Short Answer

Expert verified

The intercepts are :

x-intercept is $(3, 0)$ and y-intercept is $(0, - 9)$

Step by step solution

Given information:

Consider the equation,

$y = 3 x - 9$ .

To find the x-intercept:

Let $y = 0$ in the equation,

Then $0 = 3 x - 9$

$0 + 9 = 3 x - 9 + 9$ [ Add 9 on both sides. ]

$9 = 3 x$

$\frac{3 x}{3} = \frac{9}{3}$ [ Divide by 3 on both sides. ]

$x = 3$

localid="1646398491531" $x - i n t e r c e p t i s (3, 0) .$

To find the y-intercept:

Let $x = 0$ in the equation,

Then $y = 3 \times 0 - 9$

$y = - 9$

localid="1646398539079" $y - i n t e r c e p t i s (0, - 9) .$

To draw the graph:

We can draw the graph of the equation $y = 3 x - 9$ by plotting the above intercepts and the points in the table below,

x	$y = 3 x - 9$	$(x, y)$
-1	-12	$(- 1, - 12)$
1	-6	$(1, - 6)$
2	-3	$(2, - 3)$

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 intercepts and graph each equation by plotting points. Be sure to label the intercepts.
$y = 3 x - 9$ .

Short Answer

Step by step solution

Given information:

To find the x-intercept:

To find the y-intercept:

To draw the graph:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y=3x-9.

Short Answer

Step by step solution

Given information:

To find the x-intercept:

To find the y-intercept:

To draw the graph:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.
$y = 3 x - 9$ .