# Which quadrant does 3y + 2x = 6 go through?

Apr 23, 2017

The given equation of the straight line

$3 y + 2 x = 6$

It gives $x = 3 \text{ when } y = 0$ and $y = 2 \text{ when } x = 0$

So it passes through $\left(3 , 0\right) \mathmr{and} \left(0 , 2\right)$

Hence it goes through 1st quadrant as shown in the following graph.

graph{2-2/3*x [-10, 10, -5, 5]}