Graph the line that has a slope of 6 and includes the point \( (0,0) \). Click to selest points on the graph.

Sure! Let's graph the line with a slope of 6 that passes through the point \( (0, 0) \). ### Equation of the Line Given: - **Slope (m)** = 6 - **Point**: \( (0, 0) \) The equation of the line in slope-intercept form is: \[ y = mx + b \] Since the line passes through \( (0, 0) \), the y-intercept \( b = 0 \). So, the equation simplifies to: \[ y = 6x \] ### Graph of the Line \( y = 6x \) Below is the graph of the line:  *Note: Since interactive clicking isn't possible here, I've provided a visual representation of the line.* ### Key Points on the Line Here are a few points that lie on the line \( y = 6x \): | \( x \) | \( y = 6x \) | |---------|-------------| | -2 | -12 | | -1 | -6 | | 0 | 0 | | 1 | 6 | | 2 | 12 | | 3 | 18 | ### Plotting the Line Yourself If you'd like to plot the line yourself, you can use the following points: 1. Start at the origin \( (0, 0) \). 2. Use the slope to find other points. Since the slope is 6, for every 1 unit you move to the right (increase in \( x \)), move up 6 units (increase in \( y \)). 3. Plot the points and draw a straight line through them. ### Interactive Graphing Tools For an interactive experience, you can use online graphing tools such as: - **Desmos**: [https://www.desmos.com/calculator](https://www.desmos.com/calculator) - **GeoGebra**: [https://www.geogebra.org/graphing](https://www.geogebra.org/graphing) These tools allow you to plot the line \( y = 6x \), explore its properties, and select or add points dynamically. --- If you have any specific points you'd like to identify on the graph or need further assistance with graphing, feel free to ask!