so if line A passes through (0,-5) and (12,1) you can put it into the equation m=y2-y1/x2-x1. m=1+5/12-0 m=6/12 or m=1/2
if line B passes through (0,-4) and (10,1) you can use the same equation to find the slope. m=1+4/10-0 m=5/10 or m=1/2
(0,-5) and (0,-4) are y-intercepts so you can now put it into the equation y=mx+b
line A: y=1/2x-5
line B: y=1/2x-4
because the slope is the same and the y-intercept is different they will never intersect.
let me know if this helped i’m glad to.