X-intercept = twice y-intercept, fractional coord of point: Find the general equation of the line with x-intercept equal to twice the y_intercept and through the point (3/2, 1/2).

Let the unknown y-intercept be denoted by i, and the unknown x-intercept by 2i. We can use the definition of the 2 Intercept Rule: .

Next we can substitute the coordinates of the point required to be on the line and solve for i:

We can multiply both sides by 2i to get

, or . Now we can substitute this back into the 2 intercept form:

. We can multiply by 2*(5/4) and get

, or in the general form,

.