The equation will be in the form y=mx+b, where m is the slope of the line and b is the y-intercept (value of y when x is 0).
The slope can be found by dividing the difference in two y-values of points on the line by the difference in the corresponding two x-values. In this case, we have (1-(-5))/(2-6), or 6/-4, or -3/2. Therefore, our equation can now be expressed as y=(-3/2)x+b.
Substituting in (2, 1) for this equation, we see that:
-3+b=1
Adding 3, we see that b=4. Therefore, our final equation is y=(-3/2)x+4.