(2,5) (9,2)
Before finding slope intercept form (y=mx+b) we must find point slope form. Point slope for is y-y1 = m(x-x2) where m is slope and (x1,y1) is a coordinate pair on the line. To find slope we use the formula (y2-y1)/(x2-x1). Since we have two points given, we simply plug them in to this equation.
(5 - 2)/(2 - 9) = 3/- 7 so m = -3/7.
Now we can fill in the point slope equation using either coordinate pair provided. Will be using the one with smaller numbers (2,5). Plug your values in!
y - 5 = -3/7(x-2)
Now to get to slope intercept form you simply multiply or distribute and move over the 5.
y - 5 = -3/7x + 6/7 ---- Now add 5 or 35/7 to both sides
y = -3/7x + 6/7 + 35/7 ----- Simplify to get a final answer if y = -3/7 + 41/7 which is the second choice on the screen.