Use the slope-intercept form to graph the equation \( y=-7 x+1 \). Use the graphing tool to graph the line. Use the slope and \( y \)-intercept when drawing the line. \( \begin{array}{c}\text { Click to } \\ \text { enlarge } \\ \text { graph }\end{array} \)

To graph the equation \( y = -7x + 1 \) using the slope-intercept form, we can identify the slope and the \( y \)-intercept from the equation. 1. **Identify the slope and \( y \)-intercept**: - The slope (m) is -7. - The \( y \)-intercept (b) is 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 down 7 units (negative direction on the \( y \)-axis). - From the point \( (0, 1) \), move 1 unit to the right to \( (1, 1) \) and then move down 7 units to \( (1, -6) \). Plot this point. 4. **Draw the line**: - Draw a straight line through the points \( (0, 1) \) and \( (1, -6) \). Extend the line in both directions. Now you can use a graphing tool to visualize this line. If you have access to a graphing tool, you can input the equation \( y = -7x + 1 \) directly to see the graph.