Given slope(m) = 4 and y- intercept(b) is 3.

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

              (Substitute m = 4 and b = 3)

                     (Product of two different signs is negative)

                        (Multiply: )

Above equation rewrite in the standard form Ax + By = C.

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

             (Add 3 to each side)

                  (Apply additive inverse property: )

                        (Apply additive identity property: )

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

             (Subtract y from each side) \ \

Rearrange the terms using commutative property: .

                  (Apply additive inverse property: )

                        (Apply additive identity property: )

A = 4, B = 1, C = 3; So given conditions are satisfies.

The standard form of line equation is .