Calculate the value of a and q if f(x) =a×+q A[2;10] y intercept is [0;2]

Question

Y intercept is [0;2], A[2;10], formula is f(x)=a×+q, asymptote is y=1

Answer 1

There seems to be something wrong with the question because a linear equation has no asymptote.

But I can answer the remaining part of the question. The y intercept is when x=0 so q=2.

The line passes through (2,10) so 10=2a+2, 2a=10-2=8, so a=4 and f(x)=4x+2.