# How do you find the x-intercept of the line 6x + 2y = 24?

Mar 24, 2015

The x-intercept is the value (or values) where the function crosses the X-axis.

On the X-axis, $y = 0$

Therefore the original equation
$6 x + 2 y = 24$
becomes
$6 x + 2 \left(0\right) = 24$
$\rightarrow 6 x = 24$
$\rightarrow x = 4$

The x-intercept of the given function is at $\left(4 , 0\right)$