Write an equation for the linear function that satisfies the condition f(-1)=-7 and f(3)=1

Answer 1

that's the same as two points (-1,-7) and (3,1) the line through them has slope = 8/4 = 2

y=2x + b, calculate b by plugging in either point

1 =2(3) + b

b = 1-6 = -5

the equation of the line is y=2x -5

or in functional form

f(x) = 2x -5

f(-1) = 2(-1)-5 = -2-5 = -7

f(3) = 2(3)-5 = 6-5 = 1