Given point is   and slope(m) =.

Because you know the slope and a point on the line,

Use point - slope form to write an equation of the line.

Let =  and slope(m) = .

                (Substitute 3 for ,2 for and m = )

Rewrite in standard form Ax + By = C.

Apply multiplication property of equality: If a = b then a c = b c.

     (Multiply each side by 5)

            (Cancel common terms)          (Apply distributive property: )

                (Multiply: )

             (Apply distributive property: )

                  (Multiply: )

Apply addition property of equality: If a = b then a + c = b + c. \ \ (Add 5y to each side)

Rearrange the terms using commutative property: .

           (Apply additive inverse property: )

              (Apply additive identity property: ) (Add 8 to each side)

        (Apply additive inverse property: )

              (Apply additive identity property: )

                       (Add: )

Check :

To check the solution substitute  = in .

                         (Multiply: )

                              (Subtract: )

The equation satisfies the condition. 

The standard form of line equation is  .