Question

1. $y = 3x + 4$

$x$	$y$
$-3$
$-1$
$5$
$9$

(coordinate plane grid)

1. $y = -2x + 5$

$x$	$y$
$-1$
$1$
$3$
$7$

(coordinate plane grid)

1. $y = 7 - 4x$

$x$	$y$
$1$
$2$
$3$
$4$

(coordinate plane grid)

1. $y = -\frac{4}{5}x + 1$

$x$	$y$
$-5$
$0$
$5$
$10$

(coordinate plane grid)

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

$x$	$y$

(coordinate plane grid)

1. $y = -7 - x$

$x$	$y$

(coordinate plane grid)

(partially visible: $y = \frac{3}{5}x - 2$ with table and grid)

1. $y = 5 - \frac{1}{4}x$

$x$	$y$

(coordinate plane grid)

© gina wilson (all things algebra®, llc), 2016

Explanation:

Let's solve problem 9: \( y = 3x + 4 \) by finding the \( y \)-values for the given \( x \)-values.

Step 1: For \( x = -4 \)

Substitute \( x = -4 \) into the equation \( y = 3x + 4 \).
\( y = 3(-4) + 4 = -12 + 4 = -8 \)

Step 2: For \( x = -3 \)

Substitute \( x = -3 \) into the equation.
\( y = 3(-3) + 4 = -9 + 4 = -5 \)

Step 3: For \( x = -1 \)

Substitute \( x = -1 \) into the equation.
\( y = 3(-1) + 4 = -3 + 4 = 1 \)

Step 4: For \( x = 5 \)

Substitute \( x = 5 \) into the equation.
\( y = 3(5) + 4 = 15 + 4 = 19 \)

Step 5: For \( x = 9 \)

Substitute \( x = 9 \) into the equation.
\( y = 3(9) + 4 = 27 + 4 = 31 \)

Answer:

For \( x = -4 \), \( y = -8 \); for \( x = -3 \), \( y = -5 \); for \( x = -1 \), \( y = 1 \); for \( x = 5 \), \( y = 19 \); for \( x = 9 \), \( y = 31 \)

The completed table for problem 9 is:

\( x \)	\( y \)
-3	-5
-1	1
5	19
9	31