Question

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

Answer 1

The Slope of f(x) = –7x + 9 is (-7)

The slope of h(x) = –5(–7x + 9) is (35)

The y-int of h(x) is (-45).

Answer 2

h(x): Slope(m) = 35, Y-intercept(c) = -45

f(x): Slope(m) = -7, Y-intercept(c) = 9

Explanation:

We are given the functions in the question:

`f(x) = -7x + 9\\h(x) = -5(-7x + 9)`

We have to find the slope and y-intercept of the graph of function h(x).

First we simplify h(x)

`h(x) = -5(-7x + 9)\\h(x) = -5(-7x) + (-5)(9)\\h(x) = 35x -45`

Comparing the equation to the point slope form of the straight line, we have,

`y = mx + c`

where m is he slope of line and c is the y-intercept that is the value of y when x is zero.

Comparing, we get,

Slope, m = 35

Y-intercept, c = -45

For function f(x), we have

Slope, m = -7

Intercept, c = 9