First step let us multiply f(x) by -5
[tex]\begin{gathered} h(x)=-5\lbrack-7x+9\rbrack \\ h(x)=(-5)(-7x)+(-5)(9) \\ h(x)=35x+(-45) \\ h(x)=35x-45 \end{gathered}[/tex]The general form of the linear equation is f(x) = mx + b, where
m is the slope
b is the y-intercept
Since h(x) = 35 x - 45, then
m = 35
b = -45
So:
The slope = 35
y-intercept = -45