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

$y = 3 - 3 x$

Step 1

Find the x-intercepts.

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

$0 = 3 - 3 x$

Solve the equation.

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

$3 - 3 x = 0$

Subtract $3$ from both sides of the equation.

$- 3 x = - 3$

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

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

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 3$ by $- 3$ .

$x = 1$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$y = 3 - 3 \cdot 0$

Solve the equation.

Remove parentheses.

$y = 3 - 3 \cdot 0$

Simplify $3 - 3 \cdot 0$ .

Multiply $- 3$ by $0$ .

$y = 3 + 0$

Add $3$ and $0$ .

$y = 3$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4