Use the point-slope form to write an equation, then write the equation in slope-intercept form.

Point slope: y-y1 = m(x-x1)

6. Find slope
(0-2)/(2+3) = -2/5
y - 2 = -2/5 (x + 3)
Y = -2/5x - 1.2 + 2
Slope intercept: y = -2/5x + 0.8

8. Slope: (-1+4)/(5+7) = 1/4
y + 4 = 1/4(x+7)
Y = 1/4x + 1.75 - 4
Y = 1/4x - 2.25

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.