Line through points in Q1: Fractional coordinates: For the line through (3/4, 5/6) and (-1/2, 2/3), determine the equation in the general form Ax + By + C = 0.

We can use the 2 points to determine the slope of the line through them:

Now we use the point-slope form of the equation of a line:

Now we solve for the general form:

, or multiplying by 15, we get

We can confirm this result by substituting the coordinates of each point and confirming that this equation is satisfied:

For (3/4, 5/6) we get

For (-1/2, 2/3) we get