Let's solve the problem step by step.
Step 1: Finding the missing [tex]\( y \)[/tex] when [tex]\( x = -2 \)[/tex]
We are given the equation [tex]\( y = -2x + 4 \)[/tex] and need to find the value of [tex]\( y \)[/tex] when [tex]\( x = -2 \)[/tex].
Substitute [tex]\( x = -2 \)[/tex] into the equation:
[tex]\[
y = -2(-2) + 4
\][/tex]
Calculate the value:
[tex]\[
y = 4 + 4 = 8
\][/tex]
So, the ordered pair becomes [tex]\( (-2, 8) \)[/tex].
Step 2: Finding the missing [tex]\( x \)[/tex] when [tex]\( y = 2 \)[/tex]
We are given the equation [tex]\( y = -2x + 4 \)[/tex] and need to find the value of [tex]\( x \)[/tex] when [tex]\( y = 2 \)[/tex].
Substitute [tex]\( y = 2 \)[/tex] into the equation:
[tex]\[
2 = -2x + 4
\][/tex]
To isolate [tex]\( x \)[/tex], rearrange the equation:
[tex]\[
2 - 4 = -2x
\][/tex]
This simplifies to:
[tex]\[
-2 = -2x
\][/tex]
Divide both sides by [tex]\(-2\)[/tex]:
[tex]\[
x = 1
\][/tex]
So, the ordered pair becomes [tex]\( (1, 2) \)[/tex].
Therefore, the missing values are:
- [tex]\( y = 8 \)[/tex] when [tex]\( x = -2 \)[/tex]
- [tex]\( x = 1 \)[/tex] when [tex]\( y = 2 \)[/tex]
Thus, the ordered pairs that satisfy the equation [tex]\( y = -2x + 4 \)[/tex] are [tex]\( (-2, 8) \)[/tex] and [tex]\( (1, 2) \)[/tex].
