To determine the slope and y-intercept of the given linear equation \( y = \frac{-3}{2} x + 4 \):
The given linear equation is \( y = \frac{-3}{2} x + 4 \). The slope \( m \) is the coefficient of \( x \).
The y-intercept \( b \) is the constant term in the equation.
\(\boxed{\text{slope: } -\frac{3}{2}, \text{ y-intercept: } (0, 4)}\)
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