Equal intercepts, point in Q1: Find the general equation of the line with equal intercepts and through the point (3, 4).

Let the unknown intercept be denoted by i. 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 i to get

3 + 4 = i = 7. Now we can substitute this back into the 2 intercept form:

. We can multiply by 7 and get

, or in the general form,

.