Since the line is parallel to 2x + 3y = 4, it means that it have the same gradient.
2x + 3y = 4
3y = 4 - 2x
[tex]y = \frac{4}{3} - \frac{2}{3} x[/tex]
So the gradient =
[tex] - \frac{2}{3} [/tex]
The equation of the line that is parallel to 2x + 3y = 4,
[tex] y = - \frac{2}{3} x + c[/tex]
[tex] - 4 = - \frac{2}{3} (1) + c[/tex]
[tex]c \: = - \frac{10}{3} [/tex]
[tex]y = - \frac{2}{3} x - \frac{10}{3} [/tex]
Ans: 3y = - 2x - 10
