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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 4: Q 4.12. (page 423)

Complete the table to find three solutions to this equation:

Short Answer

Expert verified

The completed table of values is shown:

$x$	$y$	$(x, y)$
$0$	$1$	$(0, 1)$
$1$	$7$	$(1, 7)$
$- 2$	$- 11$	$(- 2, - 11)$

Step by step solution

01

Step 1. Given Information

The given equation are $y = 6 x + 1$ .

02

Step 2. Find the equation

Substitute $x = 0, x = 1,$ and $x = - 2$ into $y = 6 x + 1 .$

$x = 0 y = 6 x + 1 y = 6 (0) + 1 y = 1$

Therefore, one of the point on the line is $(0, 1) .$

$x = 1 y = 6 x + 1 y = 6 (1) + 1 y = 7$

Therefore, one of the point on the line is $(1, 7) .$

$x = - 2 y = 6 x + 1 y = 6 (- 2) + 1 y = - 12 + 1 y = - 11$

Therefore, one of the point on the line is $(- 2, - 11) .$

03

Step 3. Table

The completed table is shown:

$x$	$y$	$(x, y)$
$0$	$1$	$(0, 1)$
$1$	$7$	$(1, 7)$
$- 2$	$- 11$	$(- 2, - 11)$

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Most popular questions from this chapter

Find the intercepts for $3 x - 5 y = 30$

In the following exercises, find three solutions to each linear equation.

$x + y = - 1$

Plot each point: ⓐ (4, 0) ⓑ (−2, 0) ⓒ (0, 0) ⓓ (0, 2) ⓔ (0, −3) .

Which of the following ordered pairs are solutions to the equation $4 x - y = 8 ?$

$(a) (0, 8) (b) (2, 0) (c) (1, - 4)$

In the following exercises, find the equation of a line with a given slope and $y$ -intercept. Write the equation in slope-intercept form.

$389 .$ Slope $8$ and $y$ -intercept $(0, - 6)$ .

See all solutions

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