Given equation is .

          (Add y to each side)

               (Apply Additive inverse proeprty: )

                     (Apply Additive identity proeprty: )

              (Subtract 5 from each side)

           (Apply Commutative property: a+b=b+a)

                 (Apply Additive inverse proeprty: )

                       (Apply Additive identity proeprty: )

    This equation repreasents Slope-intercept equation . \ \

Compare the slope  (m) = 4

To find y-intercept Given equation is .

(Add 13x to each side)

                (Apply Additive inverse proeprty: )

                      (Apply Additive identity proeprty: ) \ \

                      (Apply Commutative property: a+b=b+a)

                  (Divide each side by  3)

                       (Cancel common terms)

                           (Divide: )

   This equation repreasents Slope-intercept equation .

Compare the  y-intercept  (c) = 2.

To find Standard form of line equation is the slope  (m) = 4 and y-intercept  (c) = 2.

in the equation substitute (m) = 4 and (c) = 2

                       (Subtract y from each side)

                            (Apply Additive inverse proeprty: )

                  (Subtract y from each side)

                  (Apply Commutative property: a+b=b+a)

                              (Apply Additive inverse proeprty: )

                                 (Subtract:  )

\ \

 The Standard form of a linear equation is .