Answer:
x=-3
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
We have points (4,1) and (x,-6) and the slope is 1
Substituting these in
1 = (-6-1)/ (x-4)
Simplifying
1 = (-7) / (x-4)
Multiply by (x-4) on both sides
(x-4) = -7
Add 4 on both sides
x-4+4 = -7+4
x=-3