Arelation is plotted as a linear function on the coordinate plane starting at point c (0,−1)(0,−1) and ending at point d (2,−11)(2,−11) .

what is the rate of change for the linear function and what is its initial value?

the rate of change is and the intivial value

To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
.

In this case, the slope is 
.
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b

Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.

Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1