Find the x and y Intercepts 15x+13=-15y+13

$15 x + 13 = - 15 y + 13$

Step 1

Find the x-intercepts.

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

$15 x + 13 = - 15 \cdot 0 + 13$

Solve the equation.

Simplify $- 15 \cdot 0 + 13$ .

Multiply $- 15$ by $0$ .

$15 x + 13 = 0 + 13$

Add $0$ and $13$ .

$15 x + 13 = 13$

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

Subtract $13$ from both sides of the equation.

$15 x = 13 - 13$

Subtract $13$ from $13$ .

$15 x = 0$

Divide each term in $15 x = 0$ by $15$ and simplify.

Divide each term in $15 x = 0$ by $15$ .

$\frac{15 x}{15} = \frac{0}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 x}{15} = \frac{0}{15}$

Divide $x$ by $1$ .

$x = \frac{0}{15}$

Simplify the right side.

Divide $0$ by $15$ .

$x = 0$

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 $y$ .

$15 (0) + 13 = - 15 y + 13$

Solve the equation.

Rewrite the equation as $- 15 y + 13 = 15 (0) + 13$ .

$- 15 y + 13 = 15 (0) + 13$

Simplify $15 (0) + 13$ .

Multiply $15$ by $0$ .

$- 15 y + 13 = 0 + 13$

Add $0$ and $13$ .

$- 15 y + 13 = 13$

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

Subtract $13$ from both sides of the equation.

$- 15 y = 13 - 13$

Subtract $13$ from $13$ .

$- 15 y = 0$

Divide each term in $- 15 y = 0$ by $- 15$ and simplify.

Divide each term in $- 15 y = 0$ by $- 15$ .

$\frac{- 15 y}{- 15} = \frac{0}{- 15}$

Simplify the left side.

Cancel the common factor of $- 15$ .

Cancel the common factor.

$\frac{- 15 y}{- 15} = \frac{0}{- 15}$

Divide $y$ by $1$ .

$y = \frac{0}{- 15}$

Simplify the right side.

Divide $0$ by $- 15$ .

$y = 0$

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 15x+13=-15y+13

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