Final answer:
The equation of the line is y - 5 = (2/3)(x + 2)
Step-by-step explanation:
To find the equation of a line in point-slope form, we need to use the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
In this case, we are given that the line passes through (-2,5) and has a slope of 2/3. Plugging these values into the formula, we get y - 5 = (2/3)(x + 2).
This is the equation of the line in point-slope form.