What is the equation of the line through (2,-5) and (6,3)

We would have to use the formula y1 - y2 / x2 - x2.

-5 - 3 = -8 

2 - 6 = -4

Now we have -8/-4 and now we simplify to get 2/1 

sense the formula of a line is y= mx + b we now how the first part which is
y=2x+b

now we can plug in the plot from the original points to the equation to finsish the problem

3= 2 x 6 + b

6 divided by 2 is 3 and 3 times -3 is -9 so the final answer will be 

y=2x-9