# How do you find the x and y intercepts for y = 4x?

Jan 29, 2016

x-intercept: $0$
y-intercept: $0$

#### Explanation:

The x-intercept is the value of $x$ where a given equation crosses the x-axis.
Since for all points on the x-axis (and only those points) $y = 0$;
an alternate way of saying this is that the x-intercept is the value of $x$ when $y = 0$
For the given equation $y = 4 x$
when $y = 0$
$\textcolor{w h i t e}{\text{XXX}} 0 = 4 x \rightarrow x = 0$

Similarly, the y-intercept is the value of $y$ when $x = 0$
For the given equation $y = 4 x$
when $x = 0$
$\textcolor{w h i t e}{\text{XXX}} y = 4 \times 0 \rightarrow y = 0$

The given equation crosses the x-axis and the y-axis at the same point, the origin $\left(0 , 0\right)$
graph{y=4x [-6.24, 6.244, -3.12, 3.12]}