Question

Graph by plotting points.
2xequalsminusyplus4
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Part 1
Complete the ordered pairs.
​(negative 1​,
  
enter your response here​), ​(1​,
  
enter your response here​)

Answer 1

To find the ordered pairs for the equation \(2x = -y + 4\), let's first rewrite it in slope-intercept form (i.e., \(y = mx + b\)):

Starting from the original equation:
\[
2x = -y + 4
\]

We can isolate \(y\) by adding \(y\) to both sides and then subtracting \(2x\) from both sides:
\[
y = -2x + 4
\]

Now, we can calculate the corresponding \(y\) values for the given \(x\) values.

1. For \(x = -1\):
\[
y = -2(-1) + 4 = 2 + 4 = 6
\]
So the ordered pair is \((-1, 6)\).

2. For \(x = 1\):
\[
y = -2(1) + 4 = -2 + 4 = 2
\]
So the ordered pair is \((1, 2)\).

Now, we can complete the ordered pairs:
- \((-1, 6)\)
- \((1, 2)\)

The completed ordered pairs are:
\[
(-1, 6), (1, 2)
\]