Find the x and y Intercepts 9x+14=-9y+14

$9 x + 14 = - 9 y + 14$

Step 1

Find the x-intercepts.

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

$9 x + 14 = - 9 \cdot 0 + 14$

Solve the equation.

Simplify $- 9 \cdot 0 + 14$ .

Multiply $- 9$ by $0$ .

$9 x + 14 = 0 + 14$

Add $0$ and $14$ .

$9 x + 14 = 14$

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

Subtract $14$ from both sides of the equation.

$9 x = 14 - 14$

Subtract $14$ from $14$ .

$9 x = 0$

Divide each term in $9 x = 0$ by $9$ and simplify.

Divide each term in $9 x = 0$ by $9$ .

$\frac{9 x}{9} = \frac{0}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{0}{9}$

Divide $x$ by $1$ .

$x = \frac{0}{9}$

Simplify the right side.

Divide $0$ by $9$ .

$x = 0$

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 $y$ .

$9 (0) + 14 = - 9 y + 14$

Solve the equation.

Rewrite the equation as $- 9 y + 14 = 9 (0) + 14$ .

$- 9 y + 14 = 9 (0) + 14$

Simplify $9 (0) + 14$ .

Multiply $9$ by $0$ .

$- 9 y + 14 = 0 + 14$

Add $0$ and $14$ .

$- 9 y + 14 = 14$

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

Subtract $14$ from both sides of the equation.

$- 9 y = 14 - 14$

Subtract $14$ from $14$ .

$- 9 y = 0$

Divide each term in $- 9 y = 0$ by $- 9$ and simplify.

Divide each term in $- 9 y = 0$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{0}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{0}{- 9}$

Divide $y$ by $1$ .

$y = \frac{0}{- 9}$

Simplify the right side.

Divide $0$ by $- 9$ .

$y = 0$

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 9x+14=-9y+14

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