Final answer:
The point-slope form of the line passing through (6,1) with a slope of -1/2 is y - 1 = (-1/2)(x - 6), representing a straight line with a negative slope.
Step-by-step explanation:
To write the equation of a line in point-slope form, you need a point on the line (x1, y1) and the slope of the line (m). The general formula for point-slope form is given by y - y1 = m(x - x1). In this case, the line passes through the point (6, 1) and has a slope of -1/2.
Substituting these values into the formula gives us the equation:
y - 1 = (-1/2)(x - 6).
This equation represents a straight line with negative slope. Because the slope is negative, as we move to the right along the horizontal axis (increasing x), the value of y decreases, which means the line slopes downward.