Question

equation of the line: (0,-2) (3,2) explainations are helpful :D

Answer 1

Let's find the slope,

2- -2 4
-------- = --------------
3-0 3

Answer 2

and then?....

Answer 3

use the slope intercept equation of a line: y = mx + b, where m is the slope and b is the y intercept. Get the slope with change in y over change in x, or (2 - -2) / (3 - 0) = 4/3. Then plug that in for m and the x and y from either point into the equation above and solve for b:
y = mx + b
-2 = 0 + b
b = -2
So the final equation is y = 4/3 x -2