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 7 for ,4 for and m = )

Rewrite in standard form Ax + By = C.

                 (Product of two same signs is positive)

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

       (Multiply each side by 2)

              (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 3x to each side)

Rearrange the terms using commutative property: .

             (Apply additive inverse property: )

                    (Apply additive identity property: )

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

   (Subtract 14 from each side)

              (Apply additive inverse property: )

                    (Apply additive identity property: )                            (Subtract: )

Check :

To check the solution substitute  = in .

                           (Multiply: )

                                   (Subtract: )

The equation satisfies the condition.

The standard form of line equation is  .