Compare Functions

Question

A line which passes through the points (-2, 0) and (-3, -1) is this increasing or decreasing? Compare the rates of change also

Answer 1

(-2,0) and (-3,-1) have a straight line though them with slope = -1/(-2+3)= -1 <0

if slope is less than zero, the function is decreasing

the rate of change = -1, which is constant for a straight line

but you said a line through the two points, a line could be curved. if so the function could have different intervals of decreasing and increasing and changes in rates of change, but more information is needed to answer that problem, so odds are you just want the answer for a straight line. It's a decreasing function with constant rate of change =-1