Final answer:
To plot the point (-1,7π / 6) with the given polar coordinates, count the angle counterclockwise from the positive x-axis and move along the radial line corresponding to the length -1.
Step-by-step explanation:
To plot a point with polar coordinates, we use the length and angle from the origin. In this case, the length is -1 (negative 1) and the angle is 7π/6.
Start by visualizing the polar coordinate system, with the positive x-axis as the reference point. Count the given angle 7π/6 in a counterclockwise direction from the positive x-axis.
Then, move along the radial line corresponding to the length -1 (negative 1) units. This is where the point with the given polar coordinates (-1, 7π/6) will be plotted.