Given points are .

First, find the slope.

Substitute  16 for y₂,  8 for y₁,4 for x₂, and 2 for x₁  in slope formula.

                         (Subtract: )

                              (Subtract: )

                        (Simplify)

                              (Cancel common terms)

You know the slope and a point on the line, so use point - slope form

with either given point to write in standard form Ax + By = C.

Choose .

              (Substitute 8 for y₁, 2 for x₁ and )

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

     (Multiply each side by 3)

           (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 4x to each side)

Rearrange the terms using commutative property: .

(Apply commutative property: )

            (Apply additive inverse property: )

                  (Apply additive identity property: )    (Add 24to each side)

             (Apply additive inverse property: )

                 (Apply additive identity property: )

                       (Add: )

Check :

To check the solution substitute  = in .

                         (Multiply: )

                                (Add: )

The equation satisfies the condition.

The standard form of line equation is .