Find the x and y Intercepts y=-1/3x-1

$y = - \frac{1}{3} x - 1$

Step 1

Find the x-intercepts.

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

$0 = - \frac{1}{3} x - 1$

Solve the equation.

Rewrite the equation as $- \frac{1}{3} x - 1 = 0$ .

$- \frac{1}{3} x - 1 = 0$

Combine $x$ and $\frac{1}{3}$ .

$- \frac{x}{3} - 1 = 0$

Add $1$ to both sides of the equation.

$- \frac{x}{3} = 1$

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{x}{3}) = - 3 \cdot 1$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{x}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{x}{3}$ into the numerator.

$- 3 \frac{- x}{3} = - 3 \cdot 1$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- x}{3} = - 3 \cdot 1$

Cancel the common factor.

$3 \cdot - 1 \frac{- x}{3} = - 3 \cdot 1$

Rewrite the expression.

$- - x = - 3 \cdot 1$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 3 \cdot 1$

Multiply $x$ by $1$ .

$x = - 3 \cdot 1$

Simplify the right side.

Multiply $- 3$ by $1$ .

$x = - 3$

x-intercept(s) in point form.

x-intercept(s): $(- 3, 0)$

Step 2

Find the y-intercepts.

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

$y = - \frac{1}{3} \cdot 0 - 1$

Solve the equation.

Remove parentheses.

$y = - \frac{1}{3} \cdot 0 - 1$

Simplify $- \frac{1}{3} \cdot 0 - 1$ .

Multiply $- \frac{1}{3} \cdot 0$ .

Multiply $0$ by $- 1$ .

$y = 0 (\frac{1}{3}) - 1$

Multiply $0$ by $\frac{1}{3}$ .

$y = 0 - 1$

Subtract $1$ from $0$ .

$y = - 1$

y-intercept(s) in point form.

y-intercept(s): $(0, - 1)$

Step 3

List the intersections.

x-intercept(s): $(- 3, 0)$

y-intercept(s): $(0, - 1)$

Step 4

Find the x and y Intercepts y=-1/3x-1

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