To find the x-intercept, substitute in 0 0 for y y and solve for x x . 3 x + ( 0 ) = 6 3 x + ( 0 ) = 6 Solve the equation. Tap for more steps... x = 2 x = 2 To find the y-intercept, substitute in 0 0 for x x and solve for y y . 3 ( 0 ) + y = 6 3 ( 0 ) + y = 6 Simplify the left side. Tap for more steps... y = 6 y = 6 These are the x x and y y intercepts of the equation 3 x + y = 6 3 x + y = 6 . x-intercept: ( 2 , 0 ) ( 2 , 0 ) y-intercept: ( 0 , 6 )