Question

Express y in terms of x, given 2x+3y =4. Check whether the point (2,1) lies on the given line.

Answer 1

see explanation

Explanation:

Given

2x + 3y = 4 ( subtract 2x from both sides )

3y = - 2x + 4 ( divide all terms by 3 )

y = -
`(2)/(3)` x +
`(4)/(3)`

To determine if the point (2, 1) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.

y = -
`(4)/(3)` +
`(4)/(3)` = 0 ≠ 1

Ths (2, 1) does not lie on the line