What is the slope of the line passing through the points (0, 4) and (–8, –1)?

(0,4)(-8,-1)
slope = (-1 - 4) / (-8 - 0) = -5/-8 = 5/8 <=

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.