Question

What is the equation of the line that passes through (–2, 3) and is parallel to 2x 3y = 6?

Answer 1

2x + 3y = 6 => 3y = -2x + 6 => y = -2/3 x + 2 => slope is -2/3

Parallel lines has equal slope.
Required equation is (y - 3)/(x - (-2)) = -2/3 => (y - 3)/(x + 2) = -2/3 => 3(y - 3) = -2(x + 2) => 3y - 9 = -2x - 4 => 2x + 3y = 5

Answer 2

-2 & -3 are both negative numbers 2x 3y is not 6 2*2=4 3*3= 9 9*4= 36 div 2 =18