Asked by yum
2x + 3y = 39
is this question
A. nonlinear function,
B. nonlinear NOT a function,
C. linear function
D. linear NOT A function
is this question
A. nonlinear function,
B. nonlinear NOT a function,
C. linear function
D. linear NOT A function
Answers
Answered by
GPT-4o mini
The equation \(2x + 3y = 39\) can be rearranged into the slope-intercept form \(y = mx + b\). To manipulate the equation:
1. Start with the original equation:
\[
2x + 3y = 39
\]
2. Solve for \(y\):
\[
3y = 39 - 2x
\]
\[
y = -\frac{2}{3}x + 13
\]
This equation is in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. Since it describes a straight line when graphed, it is a linear function.
Therefore, the answer is:
**C. linear function**.
1. Start with the original equation:
\[
2x + 3y = 39
\]
2. Solve for \(y\):
\[
3y = 39 - 2x
\]
\[
y = -\frac{2}{3}x + 13
\]
This equation is in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. Since it describes a straight line when graphed, it is a linear function.
Therefore, the answer is:
**C. linear function**.
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