The equation of a line is given below. \[ -x+4 y=8 \] Find the \( x \)-intercept and the \( y \)-intercept. Then use them to graph the line. \[ y \text {-intercept: } \]

1. **Find the \( y \)-intercept:** Set \( x=0 \) in the equation: \[ -0 + 4y = 8 \quad \Longrightarrow \quad 4y = 8 \] Solve for \( y \): \[ y = \frac{8}{4} = 2 \] The \( y \)-intercept is \( (0,2) \). 2. **Find the \( x \)-intercept:** Set \( y=0 \) in the equation: \[ -x + 4(0) = 8 \quad \Longrightarrow \quad -x = 8 \] Solve for \( x \): \[ x = -8 \] The \( x \)-intercept is \( (-8, 0) \). 3. **Graph the line:** Plot the \( y \)-intercept \( (0,2) \) and the \( x \)-intercept \( (-8,0) \) on the coordinate plane. Draw a straight line through these two points. Thus, the \( y \)-intercept is \( (0,2) \).