Write an equation of the line that passes through the given point and is perpendicular to the given line. (–6, –4); y =1/3x + 1

Perpendicular = opposite sign and reciprocal slope
Slope would be negative and reciprocal of 1/3, slope = -3
Plug into y = mx + b
y = -3x + b, plug in point
-4 = -3(-6) + b, b = -22
Solution: y = -3x - 22

The correct answer is -4

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.