Find the x and y Intercepts 4x+4=-4y+4

$4 x + 4 = - 4 y + 4$

Step 1

Find the x-intercepts.

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

$4 x + 4 = - 4 \cdot 0 + 4$

Solve the equation.

Simplify $- 4 \cdot 0 + 4$ .

Multiply $- 4$ by $0$ .

$4 x + 4 = 0 + 4$

Add $0$ and $4$ .

$4 x + 4 = 4$

Move all terms not containing $x$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$4 x = 4 - 4$

Subtract $4$ from $4$ .

$4 x = 0$

Divide each term in $4 x = 0$ by $4$ and simplify.

Divide each term in $4 x = 0$ by $4$ .

$\frac{4 x}{4} = \frac{0}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{0}{4}$

Divide $x$ by $1$ .

$x = \frac{0}{4}$

Simplify the right side.

Divide $0$ by $4$ .

$x = 0$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$4 (0) + 4 = - 4 y + 4$

Solve the equation.

Rewrite the equation as $- 4 y + 4 = 4 (0) + 4$ .

$- 4 y + 4 = 4 (0) + 4$

Simplify $4 (0) + 4$ .

Multiply $4$ by $0$ .

$- 4 y + 4 = 0 + 4$

Add $0$ and $4$ .

$- 4 y + 4 = 4$

Move all terms not containing $y$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- 4 y = 4 - 4$

Subtract $4$ from $4$ .

$- 4 y = 0$

Divide each term in $- 4 y = 0$ by $- 4$ and simplify.

Divide each term in $- 4 y = 0$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{0}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{0}{- 4}$

Divide $y$ by $1$ .

$y = \frac{0}{- 4}$

Simplify the right side.

Divide $0$ by $- 4$ .

$y = 0$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4

Find the x and y Intercepts 4x+4=-4y+4

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