Answer:
Option d:slope of function B=- Slope of function A.
Step-by-step explanation:
We are given that one equation for function A and the graph for function B
Function A
[tex]f(x)=-2x+1[/tex]
Function B : The graph of line going through ordered pair (-1,-5) and (2,1) and (3,3)
The equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by
[tex]\frac{y-y_1}{y_1-y_2}=\frac{x-x_1}{x_1-x_2}[/tex]
The equation of function B passing through the points (-1,-5) and (2,1)
[tex]\frac{y+5}{-5-1}=\frac{x+1}{-1-2}[/tex]
Where [tex]x_1=-1,y_1=-5,x_2=2,y_2=1[/tex]
The equation of function B passing through the points (-1,-5) and (2,1)
[tex]\frac{y+5}{-6}=\frac{x+1}{-3}[/tex]
The equation of function B passing through the points (-1,-5) and (2,1)
[tex]{y+5}=2(x+1)[/tex]
The equation of function B passing through the points (-1,-5) and (2,1)
[tex]2x-y=5-2[/tex]
The equation of function B passing through the points (-1,-5) and (2,1)
[tex]2x-y=3[/tex]
The equation of function B passing through the points (-1,-5) and (2,1) is given by
[tex] y=2x-3[/tex]
Therefore, slope of function B=2
By comparing with the equation of line
[tex]y=mx+c[/tex]
Slope of function A= -2
Therefore, slope of function B=- Slope of function A.
Hence, option d is true.
