Find the slope and \( y \)-intercept of the following linear equation. Express the \( y \)-intercept as a coordinate pair. \[ y=-\frac{3}{4} x \]

To analyze the linear equation \( y = -\frac{3}{4}x \), we'll identify its **slope** and **\( y \)-intercept**. ### 1. Slope (\( m \)) The slope-intercept form of a linear equation is: \[ y = mx + b \] where: - \( m \) is the slope - \( b \) is the \( y \)-intercept Comparing with the given equation \( y = -\frac{3}{4}x \): - The coefficient of \( x \) is \( -\frac{3}{4} \), which means: \[ \text{Slope (} m \text{)} = -\frac{3}{4} \] ### 2. \( y \)-Intercept (\( b \)) In the absence of a constant term, the equation can be rewritten as: \[ y = -\frac{3}{4}x + 0 \] This shows that the \( y \)-intercept (\( b \)) is \( 0 \). Expressed as a coordinate pair: \[ \text{\( y \)-intercept} = (0, 0) \] ### **Summary** - **Slope:** \( -\frac{3}{4} \) - **\( y \)-intercept:** \( (0, 0) \)