# How do you find the x and y intercept of  x - 3y = - 6?

Mar 20, 2018

the intercept made by the straight line on x axis is 6
the intercept made by the straight line on y axis is -2

#### Explanation:

$x - 3 y = 6$
Substitute x=0, to get y intercept
$0 - 3 y = 6$
$- 3 y = 6$
$- \frac{3}{3} y = \frac{6}{3}$
$y = - 2$
Substitute y=0, to get x intercept
$x - 3 \left(0\right) = 6$
$x - 0 = 6$
$x = 6$
Hence,
the intercept made by the straight line on x axis is 6
the intercept made by the straight line on y axis is -2