Graph the following features: - Slope \( =\frac{1}{2} \) - Y-intercept \( =-6 \)

To graph the line with a slope of \( \frac{1}{2} \) and a y-intercept of -6, start by plotting the y-intercept at the point (0, -6) on the Cartesian plane. From there, use the slope, which indicates a rise of 1 unit for every 2 units run. This means from (0, -6), you can move right 2 units (to the x-coordinate 2) and up 1 unit (to the y-coordinate -5), landing at the point (2, -5). Draw a straight line connecting these points, which reflects the linear relationship described in the slope-intercept form \( y = \frac{1}{2}x - 6 \). To further ensure accuracy, remember to extend the line in both directions. Choose a few additional points by substituting different x-values into the equation. For example, if \( x = -2 \), then \( y = \frac{1}{2}(-2) - 6 = -1 - 6 = -7 \), giving you the point (-2, -7). Plotting this along with other points will give a clear representation of the line on your graph!