Final answer:
The equation of the line passing through the point (0, 3) with a slope of 5/4 is y = (5/4)x + 3.
Step-by-step explanation:
To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.
The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
In this case, the point (0, 3) is given and the slope is 5/4. Plugging these values into the point-slope form, we get: y - 3 = (5/4)(x - 0)
Simplifying the equation, we get: y - 3 = (5/4)x
Adding 3 to both sides of the equation, we get: y = (5/4)x + 3
Therefore, the equation of the line is y = (5/4)x + 3, which is represented by option D.