Write an equation to represent a function with a constant rate of change such that f(-2)=5 and f (3)= -4

F(x) represents y

so f(-2) = 5means x = 5 and y = -2(5,-2)
and f(3) = -4means x = -4 and y = 3(-4,3)

(5,-2)(-4,3)slope formula : (y2 - y1 0 / (x2 - x1)
slope = (3 - (-2) / (-4 - 5) = (3 + 2) / -9 = - 5/9

y = mx + b
slope(m) = -5/9
use either of ur points (5,-2)...x = 5 and y = -2
now we sub into the formula and find b, the y int
-2 = -5/9(5) + b
-2 = -25/9 + b
-2 + 25/9 = b
-18/9 + 25/9 = b
7/9 = b

so ur equation is : y = -5/9x + 7/9 or 5x + 9y = 7 <==