Find the x and y Intercepts 2x+10=-2y+10

$2 x + 10 = - 2 y + 10$

Step 1

Find the x-intercepts.

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

$2 x + 10 = - 2 \cdot 0 + 10$

Solve the equation.

Simplify $- 2 \cdot 0 + 10$ .

Multiply $- 2$ by $0$ .

$2 x + 10 = 0 + 10$

Add $0$ and $10$ .

$2 x + 10 = 10$

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

Subtract $10$ from both sides of the equation.

$2 x = 10 - 10$

Subtract $10$ from $10$ .

$2 x = 0$

Divide each term in $2 x = 0$ by $2$ and simplify.

Divide each term in $2 x = 0$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $0$ by $2$ .

$x = 0$

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 $y$ .

$2 (0) + 10 = - 2 y + 10$

Solve the equation.

Rewrite the equation as $- 2 y + 10 = 2 (0) + 10$ .

$- 2 y + 10 = 2 (0) + 10$

Simplify $2 (0) + 10$ .

Multiply $2$ by $0$ .

$- 2 y + 10 = 0 + 10$

Add $0$ and $10$ .

$- 2 y + 10 = 10$

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

Subtract $10$ from both sides of the equation.

$- 2 y = 10 - 10$

Subtract $10$ from $10$ .

$- 2 y = 0$

Divide each term in $- 2 y = 0$ by $- 2$ and simplify.

Divide each term in $- 2 y = 0$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $0$ by $- 2$ .

$y = 0$

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 2x+10=-2y+10

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