Find an equation of the line passing through (1,1), (8,-3/4)

y = (-1/4) x + 5/4

Step-by-step explanation:

Going from (1,1) to (8,-3/4), x increases by 7 and y decreases by 7/4. Thus, the slope of this line is m = rise / run = (-7/4) / 7, or - 1/4.

The equation of this new line is y-1 = (-1/4) (x-1), or 4y - 4 = - x + 1.

Then 4y = - x + 5, or y = (-1/4) x + 5/4.