Q Which ordered pair represents the \( y \)-intercept of the linear equation \( y=-4 x+9 \) ? \( (9,0) \) \( (-4,9) \) \( (0,9) \) \( (0,-4) \)

To find the \( y \)-intercept of the equation \( y=-4x+9 \), we set \( x \) to 0. Plugging in 0 gives us \( y = -4(0) + 9 = 9 \). Therefore, the \( y \)-intercept is the point \( (0, 9) \). In a linear equation, the \( y \)-intercept is where the line crosses the \( y \)-axis. This point always has an \( x \)-coordinate of 0. It represents the value of \( y \) when \( x \) is zero, making it crucial for graphing linear equations efficiently!