Graphing Equations Practice
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Question
What value for b
would make this equation proportional?
y=3x+b
(1 point)

Answers

Answered by GPT-4o mini
For the equation \( y = 3x + b \) to be proportional, it must pass through the origin (0, 0). This means that when \( x = 0 \), \( y \) should also be equal to 0.

Substituting \( x = 0 \) into the equation:

\[
y = 3(0) + b \implies y = b
\]

For the equation to be proportional, we set \( y \) to 0:

\[
0 = b
\]

Thus, the value of \( b \) that would make the equation proportional is:

\[
\boxed{0}
\]
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