3 years ago

How are the functions y=2x and y=2x-3 related

1 answer:

6 0

Both the functions have the same slope which is 2.

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raketka [301]

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

$f(x)=-6x-21$

This function is of the form $y=mx+b$ , where $m=-6$ is the slope and $b=-21$ is the y-intercept.

We can also determine the slope of the function in the table using any two points, say $(0,7)\:and\:(2,6)$ .

The slope formula is given by,

$m=\frac{y_2-y_1}{x_2-x_1}$ .

If $(x_1,y_1)=(0,7)\:and\:(x_2,y_2)=(2,6)$ , then,

$m=\frac{6-7}{2-0}$

$m=-\frac{1}{2}$ .

We can see that both functions have a negative slope.

The correct answer is B.

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