Answer: (1/2)x + y + (3/2) = 0
Explanation:
The equation of a line in point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line. In this case, the point is (3, -2) and the slope is 1/2, so the equation of the line is:
y - (-2) = (1/2)(x - 3)
Simplifying, we get:
y + 2 = (1/2)x - (3/2)
Finally, rearranging the terms, we get:
(1/2)x + y + (3/2) = 0
Therefore, the equation of the line in point-slap form is:
(1/2)x + y + (3/2) = 0