Answer:
4. Slope of function B = -slope of function A
Step-by-step explanation:
Given:
Function A is given as:
[tex]F(x)=-2x+1[/tex]
The above equation is of the form [tex]y=mx+b[/tex], where [tex]m[/tex] 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 [tex](x_1,y_1)=(1.5,0)\ and\ (x_2,y_2)=(3,3)[/tex]
Now, the slope of the line passing through these two points is given as:
[tex]m_B=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{3-1.5}=\frac{3}{1.5}=2[/tex]
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.
[tex]m_B=-(m_A)=-(-2)=2[/tex]
