Match each equation with what it represents. Prompts (1) \( y=m x+b \) (2) \( y-y_{1}=m\left(x-x_{1}\right) \) (3) \( x=a \) Select match (4) \( y=b \) Select match Select match Last saved \( 12: 58: 18 \) PM

Certainly! Let's match each equation with what it represents: 1. **\( y = m x + b \)** - **Represents:** *Slope-Intercept Form of a Line* - **Explanation:** This equation expresses a straight line where \( m \) is the slope and \( b \) is the y-intercept (the point where the line crosses the y-axis). 2. **\( y - y_{1} = m(x - x_{1}) \)** - **Represents:** *Point-Slope Form of a Line* - **Explanation:** This form is used when you know the slope \( m \) of a line and a specific point \( (x_{1}, y_{1}) \) that the line passes through. 3. **\( x = a \)** - **Represents:** *Vertical Line* - **Explanation:** This equation describes a vertical line where every point on the line has an x-coordinate of \( a \). It is parallel to the y-axis. 4. **\( y = b \)** - **Represents:** *Horizontal Line* - **Explanation:** This equation describes a horizontal line where every point on the line has a y-coordinate of \( b \). It is parallel to the x-axis. --- **Summary of Matches:** 1. **\( y = m x + b \)** — *Slope-Intercept Form of a Line* 2. **\( y - y_{1} = m(x - x_{1}) \)** — *Point-Slope Form of a Line* 3. **\( x = a \)** — *Vertical Line* 4. **\( y = b \)** — *Horizontal Line*