The equation of the line in point-slope form with a slope of 4/3 through the point (0,3) is y - 3 = 4/3x, which matches option A.
The question asks to write the equation of a line in point-slope form with a slope of 4/3 that passes through the point (0,3). Point-slope form is expressed as y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. Plugging the given slope and point into this formula results in y - 3 = (4/3)(x - 0). Simplifying this, we get the equation y - 3 = 4/3x, which is the point-slope form of the line that satisfies the given conditions.
In conclusion, the final answer in point-slope form that satisfies the given conditions is y - 3 = 4/3x, which corresponds to option A).