x + 3 y = 9 ⇒ 3 y = − x + 9 ⇒ y = − 3 1 x + 3 x = 0 ⇒ y = − 3 1 ⋅ 0 + 3 = 0 ⇒ p o in t : ( 0 ; 3 ) y = 0 ⇒ x + 3 ⋅ 0 = 9 ⇒ x = 9 ⇒ p o in t : ( 9 , 0 )
To graph x + 3 y = 9 , convert it to slope-intercept form as y = − 3 1 x + 3 . The y-intercept is 3 and the x-intercept is 9. Plot these points and draw the line to visualize the solutions of the equation.
;