Question

table of values and use the table values
to graph.

$y = -3x - 5$

$x$	$-3x$	$y = -3x - 5$
$-2$
$-1$
$0$
$1$
$2$
$3$

try

answer
attempt 1 out of 3

Explanation:

Step1: Calculate \(-3x\) when \(x = -3\)

Substitute \(x = -3\) into \(-3x\), we get \(-3\times(-3)=9\)

Step2: Calculate \(y = -3x - 5\) when \(x = -3\)

Substitute \(x = -3\) into \(y = -3x - 5\), we have \(y=-3\times(-3)-5 = 9 - 5 = 4\)

For completeness, we can calculate the values for other \(x\) as well:

• When \(x=-2\):
• \(-3x=-3\times(-2)=6\)
• \(y=-3\times(-2)-5 = 6 - 5 = 1\)
• When \(x=-1\):
• \(-3x=-3\times(-1)=3\)
• \(y=-3\times(-1)-5 = 3 - 5 = -2\)
• When \(x = 0\):
• \(-3x=-3\times0 = 0\)
• \(y=-3\times0 - 5=-5\)
• When \(x = 1\):
• \(-3x=-3\times1=-3\)
• \(y=-3\times1 - 5=-3 - 5=-8\)
• When \(x = 2\):
• \(-3x=-3\times2=-6\)
• \(y=-3\times2 - 5=-6 - 5=-11\)
• When \(x = 3\):
• \(-3x=-3\times3=-9\)
• \(y=-3\times3 - 5=-9 - 5=-14\)

Answer:

For \(x=-3\):

• \(-3x\) value: \(9\)
• \(y = -3x - 5\) value: \(4\)

The complete table is:

\(x\)	\(-3x\)	\(y=-3x - 5\)
\(-2\)	\(6\)	\(1\)
\(-1\)	\(3\)	\(-2\)
\(0\)	\(0\)	\(-5\)
\(1\)	\(-3\)	\(-8\)
\(2\)	\(-6\)	\(-11\)
\(3\)	\(-9\)	\(-14\)