Given slope(m) = 3 and y- intercept(b) is 5.

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

                  (Substitute m = 3 and b = 5)

                     (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 3x to each side) \ \

Rearrange the terms using commutative property: .

                  (Apply additive inverse property: )

                        (Apply additive identity property: )

A = 3, B = 1, C = 5; So given conditions are satisfies.

The standard form of line equation is .