You can find the slope using the points.
9-18 -9 9
--------- = ------- = -------
-14+10 -4 4
Next, you can find the equation of the line.
y-9=9/4(x+14)
y=9/4x+40.5
Plug in 0 for x.
y=9/4(0)+40.5
y=40.5
So, the y-intercept is (0,40.5)
Plug in 0 for y.
0=9/4x+40.5
-40.5=9/4
x=-18
So, the x intercept is (-18,0)
I hope this helps!