To simplify the expression \( y = \frac{x}{2} - 6x + 4 \), you can combine like terms. First, let's rewrite the expression.
Write the term \( -6x \) in terms of fractions to combine it with \( \frac{x}{2} \): \[ -6x = -\frac{12x}{2} \]
Now, replace \( -6x \) in the original equation: \[ y = \frac{x}{2} - \frac{12x}{2} + 4 \]
Combine the fractions: \[ y = \frac{x - 12x}{2} + 4 \] \[ y = \frac{-11x}{2} + 4 \]
So the simplified equation is: \[ y = -\frac{11x}{2} + 4 \]
If you're looking to express this in a different form (like slope-intercept form \( y = mx + b \)), then it is already in that format where \( m = -\frac{11}{2} \) (the slope) and \( b = 4 \) (the y-intercept).