What are the intercepts of -3x+2y=6?

Nov 29, 2015

the x-intercept is at:$\left(- 2 , 0\right)$, the y-intercept is at: (0,3)

Explanation:

To find the x-intercept set y to zero then solve for x:

$- 3 x + 2 y = 6$
$- 3 x + 2 \cdot 0 = 6$
$- 3 x + 0 = 6$
$- 3 x = 6$
$x = \frac{6}{-} 3$
$x = - 2$
$\therefore$the x-intercept is at:$\left(- 2 , 0\right)$

To find the y-intercept st x to zero then solve for y:

$- 3 x + 2 y = 6$
$- 3 \cdot 0 + 2 y = 6$
$0 + 2 y = 6$
$2 y = 6$
$y = \frac{6}{2}$
$y = 3$
$\therefore$ the y-intercept is at: (0,3)