Find the x and y Intercepts 8x+14=-8y+14

$8 x + 14 = - 8 y + 14$

Step 1

Find the x-intercepts.

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

$8 x + 14 = - 8 \cdot 0 + 14$

Solve the equation.

Simplify $- 8 \cdot 0 + 14$ .

Multiply $- 8$ by $0$ .

$8 x + 14 = 0 + 14$

Add $0$ and $14$ .

$8 x + 14 = 14$

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

Subtract $14$ from both sides of the equation.

$8 x = 14 - 14$

Subtract $14$ from $14$ .

$8 x = 0$

Divide each term in $8 x = 0$ by $8$ and simplify.

Divide each term in $8 x = 0$ by $8$ .

$\frac{8 x}{8} = \frac{0}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{0}{8}$

Divide $x$ by $1$ .

$x = \frac{0}{8}$

Simplify the right side.

Divide $0$ by $8$ .

$x = 0$

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 $y$ .

$8 (0) + 14 = - 8 y + 14$

Solve the equation.

Rewrite the equation as $- 8 y + 14 = 8 (0) + 14$ .

$- 8 y + 14 = 8 (0) + 14$

Simplify $8 (0) + 14$ .

Multiply $8$ by $0$ .

$- 8 y + 14 = 0 + 14$

Add $0$ and $14$ .

$- 8 y + 14 = 14$

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

Subtract $14$ from both sides of the equation.

$- 8 y = 14 - 14$

Subtract $14$ from $14$ .

$- 8 y = 0$

Divide each term in $- 8 y = 0$ by $- 8$ and simplify.

Divide each term in $- 8 y = 0$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{0}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{0}{- 8}$

Divide $y$ by $1$ .

$y = \frac{0}{- 8}$

Simplify the right side.

Divide $0$ by $- 8$ .

$y = 0$

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 8x+14=-8y+14

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