Find the x and y Intercepts x-y=6

$x - y = 6$

Step 1

Find the x-intercepts.

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

$x - (0) = 6$

Subtract $0$ from $x$ .

$x = 6$

x-intercept(s) in point form.

x-intercept(s): $(6, 0)$

Step 2

Find the y-intercepts.

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

$(0) - y = 6$

Solve the equation.

Subtract $y$ from $0$ .

$- y = 6$

Divide each term in $- y = 6$ by $- 1$ and simplify.

Divide each term in $- y = 6$ by $- 1$ .

$\frac{- y}{- 1} = \frac{6}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{6}{- 1}$

Divide $y$ by $1$ .

$y = \frac{6}{- 1}$

Simplify the right side.

Divide $6$ by $- 1$ .

$y = - 6$

y-intercept(s) in point form.

y-intercept(s): $(0, - 6)$

Step 3

List the intersections.

x-intercept(s): $(6, 0)$

y-intercept(s): $(0, - 6)$

Step 4