one way is to plot 2 points and connect them which is what the answer choices seem to be doing
it seems to be using the y intercept and the slope
y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)
slope=rise/run
y-intercept is where the line croses the y axis which is the y value where x=0
you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)
y=? x-1
m=? because of your fault
b=-1
so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)
so draw point (0,-1) (so answer is one of the first 2 option)
if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points
if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points