Find the x and y Intercepts y=-7x

$y = - 7 x$

Find the x-intercepts.

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

$0 = - 7 x$

Solve the equation.

Rewrite the equation as $- 7 x = 0$ .

$- 7 x = 0$

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): $(0, 0)$

Find the y-intercepts.

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

$y = - 7 \cdot 0$

Solve the equation.

Remove parentheses.

$y = - 7 \cdot 0$

Multiply $- 7$ by $0$ .

$y = 0$

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

List the intersections.

x-intercept(s): $(0, 0)$

y-intercept(s): $(0, 0)$