Can someone help to unpack this question? I don’t really get what the question is asking. What does additional point the line intersects? It’s not referring to crossing any axis, right?

@cringes_squeak.0q not completely sure, but this might help:

would mean subsequent point the line intersects (points that lie on the line).

Since the slope is 1.5 and the question says

continues on in quadrant 1

meaning that the line goes in the direction of quadrant 1, so subsequent points should also be positive and greater than (1,1). I don’t think it means crossing any axis.

Now from the given slope and point, equation of line being y = 1.5x - 0.5

=> 3x - 2y = 1

I don’t know what should be done after this but from hit-n-trial we do get (3,4) on this line.

Ah thanks. I had the same thoughts as you. Maybe it’s just keep adding value of x from 2 onward until you eventually hit an integer which is (3,4) once you plug 2 into the equation. Thanks for replying