Question

PLEASE HELP! 13 POINTS!!! WILL MARK BRAINLIEST!!!!

The equation shown below represents function f.

f ( x ) = - 2 x + 5

The graph shown below represents function g.

Which of the following statements is true?

* Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.

* Over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. The y-intercept of function f is less than the y-intercept of function g.

* Over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. The y-intercept of function f is the same as the y-intercept of function g.

* Over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. The y-intercept of function f is greater than the y-intercept of function g.

Answer 1

For all linear functions
f(x)=mx+b
m = slope
b = y-intercept (i.e.value of f(0), or value of y when x=0)

We're given 
f(x)=-2x+5  => slope = -2, y-intercept=5

Examine the graph of g(x),
we have two intercepts (0,4) and (2,0)
this means slope=(0-4)/(2-0)=-2
y-intercept = 4 (y-value of (0,4)
therefore the equation of g(x)
g(x)=-2x+4  => slope = -2, y-intercept = 4

Means 
A. slope of f(x)=slope of g(x) =-2
B. y-intercept of f(x)=5 > y-intercept of g(x)=4

Answer 2

-- The question tells us that . . . f(x) = -2x + 5

-- The graph tells us that . . . . . g(x) = -2x + 4

The first choice is the correct statement. It says ...

-- Over the interval [2, 4], the average rate of change of f (that's -2) is
the same as the average rate of change of g (that's also -2).

-- The y-intercept of function f (that's 5) is greater than the y-intercept
of function g (that's 4).