# How do you find the x and y intercepts of 6y=3x+6?

Mar 6, 2018

$x$-intercept is $- 2$ and $y$-intercept is $1$

#### Explanation:

To find $x$-intercept of any line (actually, I should say any curve) just put $y = 0$

and to $x$-intercept of any line (again any curve) just put $x = 0$.

Hence $x$-intercept of $6 y = 3 x + 6$ is given by $6 \cdot 0 = 3 x + 6$ or $3 x = - 6$ i.e. $x = - 2$

and $y$-intercept of $6 y = 3 x + 6$ is given by $6 y = 3 \cdot 0 + 6$ or $6 y = 6$ i.e. $y = 1$.

graph{6y=3x+6 [-2.958, 2.042, -1, 1.5]}