Final answer:
The coordinates of a point satisfying the given point-slope equation y - (-2) = 1/2(x - 5) are (5, -2), which is found by substituting x = 5 into the equation and solving for y.
Step-by-step explanation:
The student is asking for the coordinates of a point that would satisfy the given equation in point-slope form. The equation provided by the student is y - (-2) = 1/2(x - 5). To find the coordinates of a specific point, we can choose any value for x and solve for y. Let's pick x = 5 since it will simplify our calculations because of the term (x - 5) in the equation.
Now we substitute x = 5 into the equation:
y - (-2) = 1/2(5 - 5)
y + 2 = 1/2(0)
y + 2 = 0
y = -2
Therefore, the point with x = 5 will have a coordinate of y = -2. Hence, the coordinates of this point are (5, -2).