what is an equation for the line with a slope rate of change 1/2 and Y intercept of -11

The equation for a line with a slope (rate of change) of 1/2 and a y-intercept of -11 can be written in slope-intercept form as follows:

y = mx + b

where:
m represents the slope (1/2 in this case)
b represents the y-intercept (-11 in this case)

Replacing the values, the equation becomes:
y = (1/2)x - 11