Which of the following equations represents a linear function? \( \begin{array}{l}x=3 \\ y=\frac{1}{2} x-5 \\ y=\frac{3}{4} x^{2} \\ 3 x-6=4\end{array} \)

The equation \( y=\frac{1}{2} x-5 \) represents a linear function because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. This means that if you were to draw the graph of this equation, it would be a straight line! Now, in contrast, the equation \( \frac{3}{4} x^{2} \) is a quadratic function, which forms a parabola when graphed, and \( 3x - 6 = 4 \) is an equation that can be simplified to a linear function, but it requires some manipulation first! So, grab that pencil and do a little algebra!