Answer:
The correct statement is:
- The slope of f(x) is same as the slope of g(x)
Step-by-step explanation:
- We see that the graph of the function f(x) is a line that passes through (0,2) and (1,-1)
Hence, the equation of the function f(x) is calculated by a two-point formula as:
[tex]y-2=\dfrac{-1-2}{1-0}\times (x-0)\\\\y-2=\dfrac{-3}{1}\times x\\\\y-2=-3x\\\\y=-3x+2[/tex]
( On comparing the equation of f(x) with slope intercept form.
i.e. y=mx+c
where m is the slope and c is the y-intercept)
We get slope of f(x)= -3
and y-intercept= 2
- The function g(x) is given by:
[tex]g(x)=-3x-6[/tex]
Hence, slope of g(x) = -3
and y-intercept= -6
Hence, we get that the slope of f(x) and g(x) is same.
( i.e. -3)
