# How do you find the intercepts for x+5y=0?

Aug 26, 2015

The x-intercept is $0$
The y-intercspt is $0$

#### Explanation:

The x-intercept is the value of $x$ when $y = 0$ for a given relationship. This is the same as saying it is the value where the relationship line crosses the X-axis (since for all points on the X-axis, $y = 0$).

Substituting $0$ for $y$ in the given relationship: $x + 5 y = 0$ gives
$\textcolor{w h i t e}{\text{XXX")x+5(0)=0 color(white)("XX")rarrcolor(white)("XX}} x = 0$

Similarly, the y-intercept is the value of $y$ when $x = 0$ and using the same proscess we get
$\textcolor{w h i t e}{\text{XXX}} y = 0$

graph{x+5y=0 [-10, 10, -5, 5]}