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

The equation of a line can be written in slope-intercept form as:

y = mx + b

Where:
m represents the slope or rate of change
b represents the y-intercept

In this case, the slope (rate of change) is 1/2, and the y-intercept is -11.

Replacing m with 1/2 and b with -11, the equation becomes:

y = (1/2)x - 11

So, the equation for the line with a slope of 1/2 and a y-intercept of -11 is y = (1/2)x - 11.