(3,2)and(9,5) what is the equation of the given point?

Do you want the equation of a line that passes through the given points? If so.....

 

slope  =  (change in y's) / (change in x's)

slope  =  (2 - 5) / (3 - 9)

slope  =  (-3) / (-6)

slope  =  1/2

 

Now we know a point,  (3,2)  , and the slope,  1/2  , so we can write the equation of this line in point-slope form.

 

y - 2  =  (1/2)(x - 3)            And we can get this in slope-intercept form. Distribute the  1/2  .

 

y - 2  =  (1/2)x - 3/2           Add  2  to both sides.

 

y  =  (1/2)x + 1/2