A line includes the points (3, 9) and (2, 3). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

y  =  6x  -  9

Step-by-step explanation:

The slope-interce equation is;

y  = m*x  +  b       (1)

Where m is the slope, and b axis y intercept, to determine m, we use the coordinates of two different points.

m  = ( y₂ - y₁ ) / ( x₂  -  x₁ )

P ( 3 , 9 )     Q ( 2  ,  3 )

m  =  (  3  - 9 ) / ( 2  -  3 )  ⇒   m  = -6/ -1    m  = 6

If Q is a point in the line, then plugging values in equation (1)  of  Q ( 2  , 3) and m, we get

y  =  m*x + b   ⇒  3  =  6*(2) + b  ⇒  3  =  12  +  b

b = - 9

And the equation of the line is

y  =  6x  -  9

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: