Q. 78 Find the slope and y-intercept o... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 1: Q. 78 (page 42)

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.
$- x + 3 y = 6$

Short Answer

Expert verified

Slope is $\frac{1}{3}$

y-intercept is $(0, 2)$

The graph is

Verification:

Both graphs are the same.

Step by step solution

Step 1. Given information

The equation of a line is

$- x + 3 y = 6$

Step 2. Finding the slope of line and y-intercept

The equation of the line is

$- x + 3 y = 6$

Solve for $y$

$- x + 3 y + x = 6 + x 3 y = x + 6 \frac{3 y}{3} = \frac{x}{3} + \frac{6}{3} y = \frac{1}{3} x + 2$

Compare with slope-intercept formula of a line $y = m x + b$

So,

$m = \frac{1}{3} b = 2$

Therefore,

slope is $\frac{1}{3}$

y-intercept is $(0, 2)$

Step 3. Graphing the line by hand

Firstly, we can make a table of x and y values by selecting some random values of x and find y

$x$	$y$
$- 3$	$1$
$0$	$2$
$3$	$3$

Locate points $(- 3, 1), (0, 2), (3, 3)$ on the graph and then join them to sketch the graph

Step 4. Verify graph using the graphing utility

The graph by hand is

The graph using calculator is

Here, both graphs are the same.

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91影视

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.
$- x + 3 y = 6$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the slope of line and y-intercept

Step 3. Graphing the line by hand

Step 4. Verify graph using the graphing utility

One App. One Place for Learning.

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91影视

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.-x+3y=6

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the slope of line and y-intercept

Step 3. Graphing the line by hand

Step 4. Verify graph using the graphing utility

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Decision Maths

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the slope and y-intercept of each line. Graph the line by hand. Verify using a graphing utility.
$- x + 3 y = 6$