Answer:
[tex]\boxed{\sf \ \ \ a=-2, \ b = 1 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
saying that the function is continuous means that you cannot have a "jump" in the graph of the function
so we want
a*(-3)+b=7 and a*4+b=-7
it comes
(1) -3a + b = 7
(2) 4a + b = -7
(2)-(1) gives 4a + b + 3a - b =7a = -7-7 = -14
so a = -14/7 = -2
we replace in (1)
b = 7 + 3*(-2) = 7 - 6 = 1
hope this helps
