Question

n the equation.

1. $y = x - 6$

$x$	$y$
$0$
$5$
$7$
$10$

(coordinate grid for plotting)

1. $y = -\frac{1}{3}x$

$x$	$y$
$0$
$3$
$6$
$9$

(coordinate grid for plotting)

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

Explanation:

For problem 6: $y = x - 6$

Step1: Substitute $x=-3$

$y = -3 - 6 = -9$

Step2: Substitute $x=0$

$y = 0 - 6 = -6$

Step3: Substitute $x=5$

$y = 5 - 6 = -1$

Step4: Substitute $x=7$

$y = 7 - 6 = 1$

Step5: Substitute $x=10$

$y = 10 - 6 = 4$

For problem 8: $y = -\frac{1}{3}x$

Step1: Substitute $x=-9$

$y = -\frac{1}{3}(-9) = 3$

Step2: Substitute $x=0$

$y = -\frac{1}{3}(0) = 0$

Step3: Substitute $x=3$

$y = -\frac{1}{3}(3) = -1$

Step4: Substitute $x=6$

$y = -\frac{1}{3}(6) = -2$

Step5: Substitute $x=9$

$y = -\frac{1}{3}(9) = -3$

Answer:

Problem 6 Table:

$x$	$y$
0	-6
5	-1
7	1
10	4

(To graph: plot the points $(-3,-9)$, $(0,-6)$, $(5,-1)$, $(7,1)$, $(10,4)$ and draw a straight line through them)

Problem 8 Table:

$x$	$y$
0	0
3	-1
6	-2
9	-3

(To graph: plot the points $(-9,3)$, $(0,0)$, $(3,-1)$, $(6,-2)$, $(9,-3)$ and draw a straight line through them)