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

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

Find the x-intercepts.

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

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

Solve the equation.

Set the numerator equal to zero.

$2 x = 0$

Divide each term in $2 x = 0$ by $2$ and simplify.

Divide each term in $2 x = 0$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $0$ by $2$ .

$x = 0$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

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

Solve the equation.

Remove parentheses.

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

Remove parentheses.

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

Simplify $\frac{2 (0)}{(0) - 3}$ .

Cancel the common factor of $0$ and $(0) - 3$ .

Factor $3$ out of $2 (0)$ .

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

Cancel the common factors.

Factor $3$ out of $0$ .

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

Factor $3$ out of $- 3$ .

$y = \frac{3 (2 \cdot (0))}{3 \cdot 0 + 3 \cdot - 1}$

Factor $3$ out of $3 \cdot 0 + 3 \cdot - 1$ .

$y = \frac{3 (2 \cdot (0))}{3 \cdot (0 - 1)}$

Cancel the common factor.

$y = \frac{3 (2 \cdot (0))}{3 \cdot (0 - 1)}$

Rewrite the expression.

$y = \frac{2 \cdot (0)}{0 - 1}$

Multiply $2$ by $0$ .

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

Simplify the expression.

Subtract $1$ from $0$ .

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

Divide $0$ by $- 1$ .

$y = 0$

y-intercept(s) in point form.

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

List the intersections.

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

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

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

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