Respuesta :
Answer: The correct option is A., i.e, Slope of Function B = 2 x Slope of Function A.
Explanation:
The given function is,
[tex]f(x)=x-9[/tex]
It can be written as,
[tex]y=x-9[/tex]
It is the slope intercept form like y=mx+c, where m is the slope. On comparing the f(x) with the slope intercept form, we get the slope of f(x) is 1.
The graph of function g(x) passing through the point (-1,-3) and (2,3).
If a line passing through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of line is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-(-3)}{2-(-1)}=\frac{3+3}{2+1}= \frac{6}{3} =2[/tex]
The slope of g(x) is 2.
Since slope of f(x) is 1 and the slope of g(x) is 2, so we can say that the slope of function B is twice of slope of function A.
Slope of Function B = 2 x Slope of Function A
Therefore, the first option is correct.
