Question

Find an equation of the line in the form axplusbyequalsc whose​ x-intercept is 9 and​ y-intercept is 3​, where​ a, b, and c are integers with no factor common to all​ three, and agreater than or equals0.

Answer 1

Standard Form: Ax + By = C  

x-intercept = 9:   A(9) + B(0) = C   ⇒ 9A = C

y-intercept = 3:    A(0)  + B(3) = C  ⇒ 3B = C

Using substitution, 9A = 3B   ⇒  3A = B

Ax + By = C  ⇒  Ax + (3A)y = C    

Answer: 3x + 9y = 27   →  x + 3y = 9