What is the \( y \)-intercept in the equation? \[ y=(-2 / 3) x+8 \]

The \( y \)-intercept of a linear equation is the point where the graph intersects the \( y \)-axis. In the case of the equation \( y = \left(-\frac{2}{3}\right)x + 8 \), when \( x = 0 \), the equation simplifies to \( y = 8 \). Therefore, the \( y \)-intercept is \( 8 \), which means the graph crosses the \( y \)-axis at the point \( (0, 8) \). To visualize this, imagine a straight line that slopes downward as it moves from left to right, starting from \( 8 \) on the \( y \)-axis. If you were to plot it, you'd see that at the point \( (0, 8) \), the line crosses the \( y \)-axis. It's like the line says, "Hey, I’m here at this height when there's no horizontal movement!"