To answer this, our goal here is to find the 2 points that would make our third line. So it is said in the problem that the line passes through the red line at y= 0. What value of x at y = 0 that it would lie on the red line? It must be negative 4 (-4) (check the graph to confirm) Ask the same question to the blue line but this time the value of y is to be obtained. Once you have that you will have 2 point then use this formula to get the slope:
slope = (y2-y1)/(x2-x1) where y2 and x2 are the coordinates in the blue line. and x2 and x1, the red line.
I believe the answer is (-1,1) . The origin is the same as (0, 0) so I drew the line on a quick graph and if you are talking about distance, then the answer should be correct. Hope this helped :)
