Answer:
Step-by-step explanation:
f(x) = ax+b
passing through the point (6,-1) : when x = 6 f(x) = -1
means : -1 = a (6)+b
passing through the point (-3,-2) : when x = -3 f(x) = -2
means : --2 = a (-3)+b
you have the system :: 6a +b = - 1......(1)
-3a +b = -2........(2)
by (1) : b = -1 - 6a
by (2) : b = -2+3a
so : -2+3a = -1 - 6a
3a+6a =2 -1
9a =1 a =1/9 put the value of a in (1) or (2) : -3(1/9)+b = - 2
-1/3 +b = - 2
b = -2+1/3
b = -5/3
f(x) = 1/9 x - 5/3
