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

$y = 2 - 2 x$

Step 1

Find the x-intercepts.

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

$0 = 2 - 2 x$

Solve the equation.

Rewrite the equation as $2 - 2 x = 0$ .

$2 - 2 x = 0$

Subtract $2$ from both sides of the equation.

$- 2 x = - 2$

Divide each term in $- 2 x = - 2$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 2$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 2$ by $- 2$ .

$x = 1$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$y = 2 - 2 \cdot 0$

Solve the equation.

Remove parentheses.

$y = 2 - 2 \cdot 0$

Simplify $2 - 2 \cdot 0$ .

Multiply $- 2$ by $0$ .

$y = 2 + 0$

Add $2$ and $0$ .

$y = 2$

y-intercept(s) in point form.

y-intercept(s): $(0, 2)$

Step 3

List the intersections.

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

y-intercept(s): $(0, 2)$

Step 4