Answer :
We want to write an function that relates the number of blocks south of school that she is to the number of minutes that she has been walking.
The function is: y = (1 block/minute)*x + 8 blocks
A general linear function is:
y = a*x + b
where a is the slope and b is the y-intercept.
First, we do know that she lives 8 blocks south of her school, so the y-intercept of the linear function will be 8 blocks (the point where she starts).
Now we know that her friend lives farther south, so she moves south, at a velocity of 1 block per minute.
Then the linear function is:
y = (1 block/minute)*x + 8 blocks
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