Question
Complete the ordered pairs below so they satisfy the equation.
yequalsnegative 10xplus18
Question content area bottom
Part 1
Complete the following ordered pairs.
(0,
enter your response here)
(1,
enter your response here)
(
enter your response here,78)
yequalsnegative 10xplus18
Question content area bottom
Part 1
Complete the following ordered pairs.
(0,
enter your response here)
(1,
enter your response here)
(
enter your response here,78)
Answers
GPT-4o mini
To complete the ordered pairs that satisfy the equation \( y = -10x + 18 \), we will substitute the values of \( x \) and solve for \( y \).
1. **For the first pair** \((0, y)\):
\[
y = -10(0) + 18 = 18
\]
So the ordered pair is \((0, 18)\).
2. **For the second pair** \((1, y)\):
\[
y = -10(1) + 18 = -10 + 18 = 8
\]
So the ordered pair is \((1, 8)\).
3. **For the third pair** \((x, 78)\):
We need to solve for \( x \) when \( y = 78 \):
\[
78 = -10x + 18
\]
Rearranging the equation gives:
\[
78 - 18 = -10x \Rightarrow 60 = -10x \Rightarrow x = -6
\]
So the ordered pair is \((-6, 78)\).
Putting it all together, the ordered pairs are:
- \((0, 18)\)
- \((1, 8)\)
- \((-6, 78)\)
1. **For the first pair** \((0, y)\):
\[
y = -10(0) + 18 = 18
\]
So the ordered pair is \((0, 18)\).
2. **For the second pair** \((1, y)\):
\[
y = -10(1) + 18 = -10 + 18 = 8
\]
So the ordered pair is \((1, 8)\).
3. **For the third pair** \((x, 78)\):
We need to solve for \( x \) when \( y = 78 \):
\[
78 = -10x + 18
\]
Rearranging the equation gives:
\[
78 - 18 = -10x \Rightarrow 60 = -10x \Rightarrow x = -6
\]
So the ordered pair is \((-6, 78)\).
Putting it all together, the ordered pairs are:
- \((0, 18)\)
- \((1, 8)\)
- \((-6, 78)\)