Graph \( y=-7 x-1 \) Line

To graph the line given by the equation \( y = -7x - 1 \), we can follow these steps: 1. **Identify the slope and y-intercept**: - The equation is in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. - Here, the slope \( m = -7 \) and the y-intercept \( b = -1 \). 2. **Plot the y-intercept**: - Start by plotting the point where the line crosses the y-axis. This occurs at \( (0, -1) \). 3. **Use the slope to find another point**: - The slope of -7 means that for every 1 unit you move to the right (positive direction on the x-axis), you move 7 units down (negative direction on the y-axis). - From the point \( (0, -1) \), moving 1 unit to the right takes you to \( (1, -1 - 7) = (1, -8) \). Plot this point. 4. **Draw the line**: - Connect the two points \( (0, -1) \) and \( (1, -8) \) with a straight line. Extend the line in both directions. 5. **Label the axes**: - Make sure to label the x-axis and y-axis for clarity. This will give you a visual representation of the line \( y = -7x - 1 \). If you have graphing software or graph paper, you can use these steps to create the graph accurately.