Question

3x + 2y =4 complete the table

Answer 1

INTERCEPTS

`\mathbb{ANSWER:}`

`\sf 3x + 2y = 4`

`\sf x = 0 \\ \sf \cancel{3(0) }+ 2y = 4 \\ \sf (2y)/(2) = (4)/(2) \\ \sf y = \boxed{ \sf 2}`

`\sf x = - 2 \\ \sf 3( - 2)+ 2y = 4 \\ \sf - 6 + 2y = 4 \\ \sf \cancel{- 6 + 6} + 2y = 4 + 6 \\ \sf (2y)/(2) = (10)/(2) \\ \sf y = \boxed{ \sf 5}`

`\sf x = 1 \\ \sf 3(1)+ 2y = 4 \\ \sf 3 + 2y = 4 \\ \sf \cancel{3 - 3} + 2y = 4 - 3 \\ \sf (2y)/(2) = (1)/(2) \\ \sf y = \boxed{ \sf (1)/(2) }`

`\sf x = 4 \\ \sf 3(4)+ 2y = 4 \\ \sf 12 + 2y = 4 \\ \sf \cancel{- 12 - 12} + 2y = 4 - 12 \\ \sf (2y)/(2) = ( - 8)/(2) \\ \sf y = \boxed{ \sf - 4}`