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he equation below represents function a and the graph represents function b: function a f(x) = – 2x 1 function b graph of line going through ordered pairs negative 1, negative 5 and 2, 1 and 3, 3 which equation best compares the slopes of the two functions? slope of function b = 2 x slope of function a. slope of function a = slope of function b slope of function a = 2 x slope of function b slope of function b = – slope of function a

Verified Answer :

nobillionaireNobley

slope of function a = -2
slope of function b = (1 + 5)/(2 + 1) = 6/3 = 2
slope of function b = - slope of function a.

Answer:

Option D.

Step-by-step explanation:

The slope intercept form of a line is

Function a: \(y=mx+b\)

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

The given function is

\(f(x)=-2x+1\)

The slope of the line is -2 and y-intercept is 1.

If a linear function passes through two points, then the slope of the line is

\(m=\frac{y_2-y_1}{x_2-x_1}\)

It is given that the graph of function b passes through the points (2,1) and (3,3).

\(m=\frac{3-1}{3-2}\)

\(m=\frac{2}{1}\)

\(m=2\)

The slope of function b is 2.

Slope of function b = – Slope of function a

Therefore, the correct option is D.

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