Questions: Given the equation y=4z-5 The s intercept is: The y intercept is:

Solution Steps

The given equation is: \[ y = 4z - 5 \]

The \( s \)-intercept is not a standard term in algebra. It is likely a typo or misunderstanding. The standard intercepts are the \( y \)-intercept and the \( z \)-intercept (if \( z \) is the independent variable). Since the equation is \( y = 4z - 5 \), we will focus on the \( y \)-intercept and the \( z \)-intercept.

The \( y \)-intercept occurs when \( z = 0 \). Substituting \( z = 0 \) into the equation: \[ y = 4(0) - 5 = -5 \] Thus, the \( y \)-intercept is \( -5 \).

The \( z \)-intercept occurs when \( y = 0 \). Substituting \( y = 0 \) into the equation: \[ 0 = 4z - 5 \] Solving for \( z \): \[ 4z = 5 \quad \Rightarrow \quad z = \frac{5}{4} = 1.25 \] Thus, the \( z \)-intercept is \( 1.25 \).

Final Answer