Answer
The x-intercept is $\frac{1}{2}$.
Work Step by Step
The x-intercept is defined as the value of $x$ when $y$ is $0$. To find the x-intercept for this line, we set $y = 0$:
$0 = -4x + 2$
Subtract $2$ from each side to shift constants to one side of the equation:
$-4x = -2$
Divide both sides by $-4$ to isolate $x$:
$x = \frac{-2}{-4}$
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is $-2$:
$x = \frac{1}{2}$
The x-intercept is $\frac{1}{2}$.
