Question

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Answer 1

Answer:

4. Slope of function B = -slope of function A

Step-by-step explanation:

Given:

Function A is given as:

$F(x)=-2x+1$

The above equation is of the form $y=mx+b$, where $m$ represents slope of the line.

Therefore, on comparing the function A with the above standard form, er conclude that, slope of function A is -2.

Now, from the graph of function, we consider any two points on the graph and determine the slope of the line using the two points.

Let us consider the points $(x_1,y_1)=(1.5,0)\ and\ (x_2,y_2)=(3,3)$

Now, the slope of the line passing through these two points is given as:

$m_B=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{3-1.5}=\frac{3}{1.5}=2$

Therefore, slope of function B is 2.

Therefore, the correct relation between the slopes of the two functions is that the slope of function B is negative of the slope of function A.

$m_B=-(m_A)=-(-2)=2$