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
\(f(x)=-2x+1\)
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 \((x_1,y_1)\) and \((x_2,y_2)\) is given by
\(\frac{y-y_1}{y_1-y_2}=\frac{x-x_1}{x_1-x_2}\)
The equation of function B passing through the points (-1,-5) and (2,1)
\(\frac{y+5}{-5-1}=\frac{x+1}{-1-2}\)
Where \(x_1=-1,y_1=-5,x_2=2,y_2=1\)
The equation of function B passing through the points (-1,-5) and (2,1)
\(\frac{y+5}{-6}=\frac{x+1}{-3}\)
The equation of function B passing through the points (-1,-5) and (2,1)
\({y+5}=2(x+1)\)
The equation of function B passing through the points (-1,-5) and (2,1)
\(2x-y=5-2\)
The equation of function B passing through the points (-1,-5) and (2,1)
\(2x-y=3\)
The equation of function B passing through the points (-1,-5) and (2,1) is given by
\(y=2x-3\)
Therefore, slope of function B=2
By comparing with the equation of line
\(y=mx+c\)
Slope of function A= -2
Therefore, slope of function B=- Slope of function A.
Hence, option d is true.
