# What are the intercepts of the line y = x – 3?

Oct 6, 2015

y-intercept: $- 3$
x-intercept: $3$

#### Explanation:

The y-intercept is the value of $y$ when $x = 0$ (that is at the point where the graph crosses the Y-axis, since for all points on the Y-axis, $x = 0$)
Setting $x = 0$ in the given equation $y = x - 3$ results in
$\textcolor{w h i t e}{\text{XXX}} y = 0 - 3 = - 3$

Similarly the x-intercept is the value of $x$ when $y = 0$
$\textcolor{w h i t e}{\text{XXX")0=x-3color(white)("XXX")rarrcolor(white)("XXX}} x = 3$