Find the x and y Intercepts f(x)=-2(x-3)

$f (x) = - 2 (x - 3)$

Step 1

Find the x-intercepts.

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

$0 = - 2 (x - 3)$

Solve the equation.

Rewrite the equation as $- 2 (x - 3) = 0$ .

$- 2 (x - 3) = 0$

Divide each term in $- 2 (x - 3) = 0$ by $- 2$ and simplify.

Divide each term in $- 2 (x - 3) = 0$ by $- 2$ .

$\frac{- 2 (x - 3)}{- 2} = \frac{0}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 (x - 3)}{- 2} = \frac{0}{- 2}$

Divide $x - 3$ by $1$ .

$x - 3 = \frac{0}{- 2}$

Simplify the right side.

Divide $0$ by $- 2$ .

$x - 3 = 0$

Add $3$ to both sides of the equation.

$x = 3$

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 $y$ .

$y = - 2 ((0) - 3)$

Solve the equation.

Remove parentheses.

$y = - 2 (0 - 3)$

Remove parentheses.

$y = - 2 ((0) - 3)$

Simplify $- 2 ((0) - 3)$ .

Subtract $3$ from $0$ .

$y = - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

$y = 6$

y-intercept(s) in point form.

y-intercept(s): $(0, 6)$

Step 3

List the intersections.

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

y-intercept(s): $(0, 6)$

Step 4