Question

Given the function f(x)=4x+10 and g(x), which function has a greater slope?

Answer 1

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

$m = \dfrac{y-q}{x-p}$

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

$m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1$

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

Learn more about slope here:

brainly.com/question/2503591

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