4. Graph the following features: - Slope \( =-\frac{2}{3} \) - Y-intercept \( =-2 \)

To graph the line with a slope of \(-\frac{2}{3}\) and a y-intercept of \(-2\), we can follow these steps: 1. **Understand the equation of the line**: The slope-intercept form of a line is given by the equation: \[ y = mx + b \] where \(m\) is the slope and \(b\) is the y-intercept. In this case, we have: - Slope \(m = -\frac{2}{3}\) - Y-intercept \(b = -2\) Therefore, the equation of the line is: \[ y = -\frac{2}{3}x - 2 \] 2. **Identify the y-intercept**: The y-intercept is the point where the line crosses the y-axis. For our equation, when \(x = 0\): \[ y = -2 \] So, the point is \((0, -2)\). 3. **Calculate another point using the slope**: The slope \(-\frac{2}{3}\) means that for every 3 units you move to the right (positive x-direction), you move 2 units down (negative y-direction). Starting from the y-intercept \((0, -2)\): - Move 3 units to the right: \(0 + 3 = 3\) - Move 2 units down: \(-2 - 2 = -4\) Thus, another point on the line is \((3, -4)\). 4. **Plot the points**: You can plot the points \((0, -2)\) and \((3, -4)\) on a graph. 5. **Draw the line**: Connect the two points with a straight line, extending it in both directions. This line will have a downward slope, indicating that as \(x\) increases, \(y\) decreases. If you have graphing software or graph paper, you can use these points to create the graph visually.