Find the x and y Intercepts 13x+12=-13y+12

$13 x + 12 = - 13 y + 12$

Step 1

Find the x-intercepts.

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

$13 x + 12 = - 13 \cdot 0 + 12$

Solve the equation.

Simplify $- 13 \cdot 0 + 12$ .

Multiply $- 13$ by $0$ .

$13 x + 12 = 0 + 12$

Add $0$ and $12$ .

$13 x + 12 = 12$

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

Subtract $12$ from both sides of the equation.

$13 x = 12 - 12$

Subtract $12$ from $12$ .

$13 x = 0$

Divide each term in $13 x = 0$ by $13$ and simplify.

Divide each term in $13 x = 0$ by $13$ .

$\frac{13 x}{13} = \frac{0}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 x}{13} = \frac{0}{13}$

Divide $x$ by $1$ .

$x = \frac{0}{13}$

Simplify the right side.

Divide $0$ by $13$ .

$x = 0$

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 $y$ .

$13 (0) + 12 = - 13 y + 12$

Solve the equation.

Rewrite the equation as $- 13 y + 12 = 13 (0) + 12$ .

$- 13 y + 12 = 13 (0) + 12$

Simplify $13 (0) + 12$ .

Multiply $13$ by $0$ .

$- 13 y + 12 = 0 + 12$

Add $0$ and $12$ .

$- 13 y + 12 = 12$

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

Subtract $12$ from both sides of the equation.

$- 13 y = 12 - 12$

Subtract $12$ from $12$ .

$- 13 y = 0$

Divide each term in $- 13 y = 0$ by $- 13$ and simplify.

Divide each term in $- 13 y = 0$ by $- 13$ .

$\frac{- 13 y}{- 13} = \frac{0}{- 13}$

Simplify the left side.

Cancel the common factor of $- 13$ .

Cancel the common factor.

$\frac{- 13 y}{- 13} = \frac{0}{- 13}$

Divide $y$ by $1$ .

$y = \frac{0}{- 13}$

Simplify the right side.

Divide $0$ by $- 13$ .

$y = 0$

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 13x+12=-13y+12

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