Find the x and y Intercepts 7x+15=-7y+15

$7 x + 15 = - 7 y + 15$

Step 1

Find the x-intercepts.

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

$7 x + 15 = - 7 \cdot 0 + 15$

Solve the equation.

Simplify $- 7 \cdot 0 + 15$ .

Multiply $- 7$ by $0$ .

$7 x + 15 = 0 + 15$

Add $0$ and $15$ .

$7 x + 15 = 15$

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

Subtract $15$ from both sides of the equation.

$7 x = 15 - 15$

Subtract $15$ from $15$ .

$7 x = 0$

Divide each term in $7 x = 0$ by $7$ and simplify.

Divide each term in $7 x = 0$ by $7$ .

$\frac{7 x}{7} = \frac{0}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{0}{7}$

Divide $x$ by $1$ .

$x = \frac{0}{7}$

Simplify the right side.

Divide $0$ by $7$ .

$x = 0$

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 $y$ .

$7 (0) + 15 = - 7 y + 15$

Solve the equation.

Rewrite the equation as $- 7 y + 15 = 7 (0) + 15$ .

$- 7 y + 15 = 7 (0) + 15$

Simplify $7 (0) + 15$ .

Multiply $7$ by $0$ .

$- 7 y + 15 = 0 + 15$

Add $0$ and $15$ .

$- 7 y + 15 = 15$

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

Subtract $15$ from both sides of the equation.

$- 7 y = 15 - 15$

Subtract $15$ from $15$ .

$- 7 y = 0$

Divide each term in $- 7 y = 0$ by $- 7$ and simplify.

Divide each term in $- 7 y = 0$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{0}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{0}{- 7}$

Divide $y$ by $1$ .

$y = \frac{0}{- 7}$

Simplify the right side.

Divide $0$ by $- 7$ .

$y = 0$

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 7x+15=-7y+15

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