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2x + 3y = 39

is this question
A. nonlinear function,

B. nonlinear NOT a function,

C. linear function

D. linear NOT A function

1 answer

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.