Question

graphing linear equations
vectored instruction
graph the
equation by filling
in the chart.
equation:
$y = 11 - 3x$

x	y
1	?
2
3
4

Explanation:

Step1: Substitute x = 1 into the equation

We have the equation \( y = 11 - 3x \). When \( x = 1 \), we substitute \( x \) with 1 in the equation.
\( y = 11 - 3\times1 \)

Step2: Calculate the value of y

First, calculate \( 3\times1 = 3 \). Then, subtract this from 11: \( y = 11 - 3 = 8 \).

For completeness, let's find the other values too:

• When \( x = 2 \): \( y = 11 - 3\times2 = 11 - 6 = 5 \)
• When \( x = 3 \): \( y = 11 - 3\times3 = 11 - 9 = 2 \)
• When \( x = 4 \): \( y = 11 - 3\times4 = 11 - 12 = -1 \)

But the question first asks for \( x = 1 \), so the value for \( x = 1 \) is 8.

Answer:

For \( x = 1 \), \( y = 8 \). The completed table (for reference) is:

X	Y
1	8
2	5
3	2
4	-1

(If only the value for \( x = 1 \) is needed, the answer is 8.)