Bpetro, this is the solution:
Let's recall that the general form of the line equation is:
y = mx + b
Let's find b, this way:
3 = 1/4 * 5 + b
3 = 5/4 + b
b = 3 - 5/4
b = 12/4 - 5/4
b = 7/4
In consequence, the equation of the line that passes through the point (5,3) with a slope of 1/4 is:
y = 1/4x + 7/4