Questions: h(x)=-4x+4 (a) Determine the slope and y-intercept of the function. The slope is . (Type an integer or a simplified fraction.)

Solution Steps

To determine the slope and y-intercept of the linear function \( h(x) = -4x + 4 \), we can directly identify these values from the equation. The general form of a linear equation is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

1. Identify the slope \( m \) from the coefficient of \( x \).
2. Identify the y-intercept \( b \) from the constant term.

The slope \( m \) of the function \( h(x) = -4x + 4 \) is given by the coefficient of \( x \). Thus, we have: \[ m = -4 \]

The y-intercept \( b \) of the function is the constant term in the equation. Therefore, we find: \[ b = 4 \]

Final Answer