Answer:
The statements that are true about the two functions is:
B ] Both functions are decreasing.
E ] Function I has a greater y-intercept than function II.
Step-by-step explanation:
- The equation for function- I is given by:
[tex]y=\dfrac{-3}{2}x-2[/tex]
( Since, the equation with a given slope or rate " m" and y-intercept " c " is given by:
y=mx+c )
- Also, the equation for function- II is given by:
[tex]y=\dfrac{-2}{7}x-6[/tex]
⇒⇒⇒⇒
As we could see that the slope of both the equations is negative, this means that both the functions are decreasing.
( Since, a line with negative slope is decreasing and vice versa )
⇒⇒⇒⇒
Also, y-intercept of function- I is: -2
and y-intercept of function- II is: -6
( Since -2> -6 )
This means that the y-intercept of function- I is greater than that of y-intercept of function- II.