Find the x and y Intercepts y=-9x-14

$y = - 9 x - 14$

Step 1

Find the x-intercepts.

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

$0 = - 9 x - 14$

Solve the equation.

Rewrite the equation as $- 9 x - 14 = 0$ .

$- 9 x - 14 = 0$

Add $14$ to both sides of the equation.

$- 9 x = 14$

Divide each term in $- 9 x = 14$ by $- 9$ and simplify.

Divide each term in $- 9 x = 14$ by $- 9$ .

$\frac{- 9 x}{- 9} = \frac{14}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 x}{- 9} = \frac{14}{- 9}$

Divide $x$ by $1$ .

$x = \frac{14}{- 9}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{14}{9}$

x-intercept(s) in point form.

x-intercept(s): $(- \frac{14}{9}, 0)$

Step 2

Find the y-intercepts.

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

$y = - 9 \cdot 0 - 14$

Solve the equation.

Remove parentheses.

$y = - 9 \cdot 0 - 14$

Simplify $- 9 \cdot 0 - 14$ .

Multiply $- 9$ by $0$ .

$y = 0 - 14$

Subtract $14$ from $0$ .

$y = - 14$

y-intercept(s) in point form.

y-intercept(s): $(0, - 14)$

Step 3

List the intersections.

x-intercept(s): $(- \frac{14}{9}, 0)$

y-intercept(s): $(0, - 14)$

Step 4