Question 911131
They meet at x = 34,   y = -24

Their equations in slope intercept form are
y = -(2 x)/3-4/3, y = 3/2-(3 x)/4
Find 2  points distance 2 from x = 34,   y = -24 on line  y = -(2 x)/3-4/3
One point is 4,-4 the other is 64,-44

x = 34,   y = -24 would be the midpoint between the 64,-44 and 4,-4