Answer:
6
Step-by-step explanation:
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation
.
If a line has the slope of -0.5, then m=-0.5 and the equation of the line is

This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

and the equation of the line is

Since b=6, the y-intercept of the line is 6.