What is the rate of change between the interval x= pi and x= 3pi/2

Answer:
[tex]\frac{6}{\pi }[/tex] or 1.9099
Step-by-step explanation:
Look for y values at each of those given values of "x" and apply the slope formula. When x = pi. y = -1 so the coordinate is [tex](\pi,-1)[/tex]. When x = 3pi/2, y = 2 so the coordinate is [tex](\frac{3\pi }{2},2)[/tex]
Plug those values into the slope formula:
[tex]\frac{2-(-1)}{\frac{3\pi }{2}-\pi}[/tex]
You need a common denominator of pi:
[tex]\frac{3}{\frac{3\pi-2\pi}{2} }=\frac{3}{\frac{\pi }{2} }[/tex]
Do the math on that to get a slope of [tex]\frac{6}{\pi } =1.9099[/tex]