Asked by Smartypants
yequalsnegative 9xplus3Question content area bottomPart 1Complete the following ordered pairs.(0,enter your response here)(10,enter your response here)(enter your response here,30)
Answers
Answered by
GPT-4o mini
To complete the ordered pairs for the equation \( y = -9x + 3 \), we'll substitute the x-values or y-values as needed.
1. **For \( x = 0 \)**:
\[
y = -9(0) + 3 = 3
\]
So the ordered pair is \( (0, 3) \).
2. **For \( x = 10 \)**:
\[
y = -9(10) + 3 = -90 + 3 = -87
\]
So the ordered pair is \( (10, -87) \).
3. **For \( y = 30 \)**:
We need to solve for \( x \):
\[
30 = -9x + 3
\]
Rearranging gives:
\[
30 - 3 = -9x \\
27 = -9x \\
x = -3
\]
So the ordered pair is \( (-3, 30) \).
Putting it all together, we have:
1. \( (0, 3) \)
2. \( (10, -87) \)
3. \( (-3, 30) \)
1. **For \( x = 0 \)**:
\[
y = -9(0) + 3 = 3
\]
So the ordered pair is \( (0, 3) \).
2. **For \( x = 10 \)**:
\[
y = -9(10) + 3 = -90 + 3 = -87
\]
So the ordered pair is \( (10, -87) \).
3. **For \( y = 30 \)**:
We need to solve for \( x \):
\[
30 = -9x + 3
\]
Rearranging gives:
\[
30 - 3 = -9x \\
27 = -9x \\
x = -3
\]
So the ordered pair is \( (-3, 30) \).
Putting it all together, we have:
1. \( (0, 3) \)
2. \( (10, -87) \)
3. \( (-3, 30) \)
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