For the graph x = 12 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. explain your answer with two or more sentences

X = 12 is a vertical line. a parallel line will also have to be a vertical line, and a perpendicular one will, in this case, be a horizontal line.

the slope of x = 12 is undefined, because it fails the vertical line test. a horizontal line, however, passes the vertical line test -- but there is no increase or decrease. the slope of a horizontal line is 0.

so with that information in mind (the slope of a vertical line is undefined, the slope of a horizontal line is 0), you can easily state that a line parallel to x = 12 will have an undefined slope, and also that a line perpendicular to x = 12 will have a slope of 0.

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.