Find the x and y Intercepts -6/7y=x

$- \frac{6}{7} y = x$

Step 1

Find the x-intercepts.

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

$- \frac{6}{7} \cdot 0 = x$

Solve the equation.

Rewrite the equation as $x = - \frac{6}{7} \cdot 0$ .

$x = - \frac{6}{7} \cdot 0$

Multiply $- \frac{6}{7} \cdot 0$ .

Multiply $0$ by $- 1$ .

$x = 0 (\frac{6}{7})$

Multiply $0$ by $\frac{6}{7}$ .

$x = 0$

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 $y$ .

$- \frac{6}{7} y = 0$

Solve the equation.

Multiply both sides of the equation by $- \frac{7}{6}$ .

$- \frac{7}{6} (- \frac{6}{7} y) = - \frac{7}{6} \cdot 0$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{7}{6} (- \frac{6}{7} y)$ .

Combine $y$ and $\frac{6}{7}$ .

$- \frac{7}{6} (- \frac{y \cdot 6}{7}) = - \frac{7}{6} \cdot 0$

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{7}{6}$ into the numerator.

$\frac{- 7}{6} (- \frac{y \cdot 6}{7}) = - \frac{7}{6} \cdot 0$

Move the leading negative in $- \frac{y \cdot 6}{7}$ into the numerator.

$\frac{- 7}{6} \cdot \frac{- y \cdot 6}{7} = - \frac{7}{6} \cdot 0$

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{6} \cdot \frac{- y \cdot 6}{7} = - \frac{7}{6} \cdot 0$

Cancel the common factor.

$\frac{7 \cdot - 1}{6} \cdot \frac{- y \cdot 6}{7} = - \frac{7}{6} \cdot 0$

Rewrite the expression.

$\frac{- 1}{6} (- y \cdot 6) = - \frac{7}{6} \cdot 0$

Cancel the common factor of $6$ .

Factor $6$ out of $- y \cdot 6$ .

$\frac{- 1}{6} (6 \cdot (- y)) = - \frac{7}{6} \cdot 0$

Cancel the common factor.

$\frac{- 1}{6} (6 \cdot (- y)) = - \frac{7}{6} \cdot 0$

Rewrite the expression.

$- - y = - \frac{7}{6} \cdot 0$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - \frac{7}{6} \cdot 0$

Multiply $y$ by $1$ .

$y = - \frac{7}{6} \cdot 0$

Simplify the right side.

Multiply $- \frac{7}{6} \cdot 0$ .

Multiply $0$ by $- 1$ .

$y = 0 (\frac{7}{6})$

Multiply $0$ by $\frac{7}{6}$ .

$y = 0$

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 -6/7y=x

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