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

see explanation

Step-by-step explanation:

Given

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

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

y = - x +

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 = - + = 0 ≠ 1

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

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.