what equation in slope intercept form represents the line that passes through the two points? (2,5),(9,2)

Comment
Find the slope and then use one of the points for the y intercept.
[tex]\text {the Slope = } \dfrac{y2 - y1}{x2 - x2} [/tex]

Step One 
Find the slope
y2 = 5
y1 = 2
x2 = 2
x1 = 9
 
[tex]\text {the Slope = } \dfrac{5 - 2}{2 - 9} [/tex]
Slope = 3/-7 I'll leave it that way for now.

Step Two
Find the y intercept

What we have so far is
y = 3/-7 x + b
Use (5,2) to solve for b
y = 2
x = 5

2 = 3*5/-7 + b
2 = 15/-7 + b      Add -15/7 to both sides.
2 + 15/7 = b
b = 2 + 2 1/7
b = 4 1/7
b = 29/7

Answer 
y = 3/-7 * x + 29/7

If you have choices, it would be a good idea to list them.