The equation represents Function A, and the graph represents Function B:

Function A: f(x) = x − 9

Which equation best compares the slopes of the two functions?

A.) Slope of Function B = 2 x Slope of Function A
B.) Slope of Function A = Slope of Function B
C.) Slope of Function A = 2 x Slope of Function B
D.) Slope of Function B = − Slope of Function A

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Аноним Аноним · Answer 1 · 2019-07-03T18:02:05+02:00

Answer:

A.) Slope of function B = 2 * the slope of Function A.

Step-by-step explanation:

The slope of Function A is 1 ( because of the x ( = 1x) in the equation).

From the graph, the slope of Function B = 5 / 2.5 = 2.

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erinna erinna · Answer 2 · 2019-09-18T07:55:46+02:00

Answer:

The correct option is A.

Step-by-step explanation:

The slope intercept form of a line is

[tex]y=mx+b[/tex] .... (1)

where, m is slope and b is y-intercept.

The equation of Function A is

[tex]f(x)=x-9[/tex] .... (2)

From (1) and (2) we get

[tex]m=1[/tex]

It means slope of Function A is 1.

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through two points (0,-1) and (1,1).

[tex]m=\frac{1-(-1)}{1-0}=2[/tex]

The slope of Function B is 2.

We can say that

Slope of Function B = 2 x Slope of Function A

Therefore the correct option is A.