Graph this line using the slope and \( y \)-intercept: \[ y=-\frac{3}{8} x+4 \] Click to select points on the graph.

To graph the line given by the equation \[ y = -\frac{3}{8} x + 4 \] we can follow these steps: 1. **Identify the slope and y-intercept**: - The slope \( m \) is \( -\frac{3}{8} \). - The y-intercept \( b \) is \( 4 \). This means the line crosses the y-axis at the point \( (0, 4) \). 2. **Plot the y-intercept**: - Start by plotting the point \( (0, 4) \) on the graph. 3. **Use the slope to find another point**: - The slope \( -\frac{3}{8} \) means that for every 8 units you move to the right (positive direction on the x-axis), you move down 3 units (negative direction on the y-axis). - From the point \( (0, 4) \), move 8 units to the right to \( (8, 4) \) and then move down 3 units to \( (8, 1) \). Plot this point. 4. **Draw the line**: - Connect the points \( (0, 4) \) and \( (8, 1) \) with a straight line. This line extends infinitely in both directions. 5. **Additional points**: - You can also find another point by moving in the opposite direction. From \( (0, 4) \), move 8 units to the left to \( (-8, 4) \) and then move up 3 units to \( (-8, 7) \). Plot this point as well. Now you have enough points to accurately draw the line. The line will slope downwards from left to right due to the negative slope.