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nalin [4]
3 years ago
7

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

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

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

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

Step-by-step 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

taurus [48]3 years ago
4 0

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).

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