Find the x and y Intercepts y=3x-9

$y = 3 x - 9$

Find the x-intercepts.

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

$0 = 3 x - 9$

Solve the equation.

Rewrite the equation as $3 x - 9 = 0$ .

$3 x - 9 = 0$

Add $9$ to both sides of the equation.

$3 x = 9$

Divide each term in $3 x = 9$ by $3$ and simplify.

Divide each term in $3 x = 9$ by $3$ .

$\frac{3 x}{3} = \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{9}{3}$

Divide $x$ by $1$ .

$x = \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$x = 3$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$y = 3 (0) - 9$

Solve the equation.

Remove parentheses.

$y = 3 (0) - 9$

Simplify $3 (0) - 9$ .

Multiply $3$ by $0$ .

$y = 0 - 9$

Subtract $9$ from $0$ .

$y = - 9$

y-intercept(s) in point form.

y-intercept(s): $(0, - 9)$

List the intersections.

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

y-intercept(s): $(0, - 9)$