Find the x and y Intercepts y=x-1/2

$y = x - \frac{1}{2}$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = x - \frac{1}{2}$

Solve the equation.

Rewrite the equation as $x - \frac{1}{2} = 0$ .

$x - \frac{1}{2} = 0$

Add $\frac{1}{2}$ to both sides of the equation.

$x = \frac{1}{2}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{1}{2}, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = (0) - \frac{1}{2}$

Solve the equation.

Remove parentheses.

$y = 0 - \frac{1}{2}$

Remove parentheses.

$y = (0) - \frac{1}{2}$

Subtract $\frac{1}{2}$ from $0$ .

$y = - \frac{1}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{1}{2})$

List the intersections.

x-intercept(s): $(\frac{1}{2}, 0)$

y-intercept(s): $(0, - \frac{1}{2})$