Question

Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?

Answer 1

The f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4 option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The missing figure is attached to the picture, please refer to the picture.

The equation of the linear function f(x):

f(x) = 6x + 1

As we know,

y = Mx + 1

M is the slope

On comparing:

M = 6

From the graph the slope of the g(x):

$\rm m = \dfrac{\left(7-3\right)}{3-2}$

m = 4/1 = 4

6 > 4

M > m

Thus, the f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4 option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

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