Final answer:
To find the x-intercept of a line with a y-intercept of -2 and a slope of -1/3, you can use the slope-intercept form of a linear equation.
Step-by-step explanation:
To graph the line with a y-intercept of -2 and a slope of -1/3, we can start by plotting the y-intercept at -2 on the y-axis. Then, using the slope, we can find another point on the line by moving 1 unit to the right and 3 units down from the y-intercept. To find the x-intercept, we need to determine the x-value at which the line crosses the x-axis. We can do this by setting y to 0 in the equation of the line and solving for x.
Let's use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation is y = (-1/3)x - 2. Setting y = 0, we have 0 = (-1/3)x - 2. Solving for x, we get x = 6. Therefore, the x-intercept of the line is 6.