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

Function A

f(x) = −2x + 10

Function B (Attached)

Slope of Function B =is 2x slope of function A
Slope of Function A = Slope of function B
Slope of Function A=2x slope of function B
Slope of Function B=-slope of function A

The equation below represents Function A and the graph represents Function B Function A fx 2x 10 Function B Attached Slope of Function B is 2x slope of function class=

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calculista

Answer:

Slope of Function B=-slope of function A

Step-by-step explanation:

we know that

The slope of the function A is equal to [tex]mA=-2[/tex]

Find the slope of the function B

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(1,-1)\ B(2,1)[/tex]  -----> see the graph

Substitute the values

[tex]mB=\frac{1+1}{2-1}[/tex]

[tex]mB=2[/tex]

therefore

[tex]mB=-mA[/tex]

Answer:

Option 4th is correct

[tex]\text{Slope of Function B} = - \text{Slope of Function A}[/tex]

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y = mx+b

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

As per the statement:

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

Function A:

[tex]f(x) = -2x+10[/tex]

By slope intercept form:

Slope of the function A = -2

Function B:

Consider any two points from the given graph we have;

(0, -3) and (2, 1)

Using slope formula:

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

Substitute the given values we have;

[tex]\text{Slope} = \frac{1-(-3)}{2-0}[/tex]

⇒[tex]\text{Slope} = \frac{4}{2}=2[/tex]

∴Slope of function B = 2

therefore,

[tex]\text{Slope of Function B} = - \text{Slope of Function A}[/tex]

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