Answer:
We can calculate the slope by doing (y2-y1) / (x2-x1).
With our given points (−3 "x1",5 "y1") and (3 "x2",3 "y2") the equation is going to be (3 - 5) / (3 + 3), which gives us -2 / 6 and can be further broken down into -1 / 3.
Now that we know our slope is (-1 / 3) we can move on to doing the point-slope and the slope-intercept form.
Point-slope form is y−y1=m(x−x1).
y - 5 = -1 /3 (x + 3) <-This is the point slop form of the given points.
Slope-intercept form is y = mx + b. (m = slope and b = y-axis point
5 = -1 / 3x (-3) + b
5 = 3 / 3 + b
5 = 1 + b
5 - 1 = 0 + b
b = 4
The slope intercept form is y = - 1 / 3x + 4
