Question

given f(x) =-7x+9 and h(x)=-5f(x) what are the slope an y intercept of the graph of function h?slope=y-intercept =

Answer 1

`\begin{gathered} f(x)=-7x+9 \\ h(x)=-5f(x) \end{gathered}`

First step let us multiply f(x) by -5

`\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}`

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