Find the x and y Intercepts x+y-1=0

$x + y - 1 = 0$

Find the x-intercepts.

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

$x + 0 - 1 = 0$

Solve the equation.

Add $x$ and $0$ .

$x - 1 = 0$

Add $1$ to both sides of the equation.

$x = 1$

x-intercept(s) in point form.

x-intercept(s): $(1, 0)$

Find the y-intercepts.

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

$(0) + y - 1 = 0$

Solve the equation.

Add $0$ and $y$ .

$y - 1 = 0$

Add $1$ to both sides of the equation.

$y = 1$

y-intercept(s) in point form.

y-intercept(s): $(0, 1)$

List the intersections.

x-intercept(s): $(1, 0)$

y-intercept(s): $(0, 1)$