Final answer:
To graph the line with a slope of -1/3 and containing the point (3,-7), we can use the point-slope form of a linear equation. The equation y = -1/3x - 6 represents the line.
Step-by-step explanation:
To graph the line with a slope of -1/3 and containing the point (3,-7), we can use the point-slope form of a linear equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values, we have y - (-7) = -1/3(x - 3). Simplifying, we get y + 7 = -1/3x + 1. Rearranging the equation, we have y = -1/3x - 6.
This equation represents the line with a slope of -1/3 and passing through the point (3,-7). To graph the line, plot the point (3,-7) on the coordinate plane and use the slope to find additional points, then connect the points with a straight line.