The equation for a line in slope-intercept form is , where is the slope and is the y-intercept. This means that the slope of is 4/3.
We would like to find a line parallel to which passes through the point (12, 3). Any parallel line must have the same slope, so the equation for the new line will be for some number . We know that must be equal to 3 when is equal to 12, so 3 = (4/3)(12) + b. This means that 3 = 16 + b, so b = -13.
Therefore, the equation for the parallel line is .