Find the x and y Intercepts xy-2y-3=0

$x y - 2 y - 3 = 0$

Find the x-intercepts.

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

$x (0) - 2 \cdot 0 - 3 = 0$

Solve the equation.

Simplify $x (0) - 2 \cdot 0 - 3$ .

Simplify each term.

Multiply $x$ by $0$ .

$0 - 2 \cdot 0 - 3 = 0$

Multiply $- 2$ by $0$ .

$0 + 0 - 3 = 0$

Simplify by adding and subtracting.

Add $0$ and $0$ .

$0 - 3 = 0$

Subtract $3$ from $0$ .

$- 3 = 0$

Since $- 3 \neq 0$ , there are no solutions.

No solution

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

x-intercept(s): $None$

Find the y-intercepts.

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

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

Solve the equation.

Simplify $(0) \cdot y - 2 y - 3$ .

Multiply $0$ by $y$ .

$0 - 2 y - 3 = 0$

Subtract $2 y$ from $0$ .

$- 2 y - 3 = 0$

Add $3$ to both sides of the equation.

$- 2 y = 3$

Divide each term in $- 2 y = 3$ by $- 2$ and simplify.

Divide each term in $- 2 y = 3$ by $- 2$ .

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{3}{2})$

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, - \frac{3}{2})$

Find the x and y Intercepts xy-2y-3=0

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