What is the equation of the line in slope-intercept form?

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b) . ... Therefore, the equation for this line is y = - x + 2 .

First, we need to find the slope.

I'm using rise over run. From point (-2,0) to (0,5)

Rise: 5 Run: 2

5/2 or 2.5

Put it into point-slope form: (-2,0)

y-y1= m(x-x1)

y-0= 2.5(x-2)

Distribute.

y= 2.5x-5 <slope intercept form y=mx+b

I hope this helps!
~kaikers

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.