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

$x - 2 y = 3$

Step 1

Find the x-intercepts.

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

$x - 2 \cdot 0 = 3$

Simplify $x - 2 \cdot 0$ .

Multiply $- 2$ by $0$ .

$x + 0 = 3$

Add $x$ and $0$ .

$x = 3$

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 $y$ .

$(0) - 2 y = 3$

Solve the equation.

Subtract $2 y$ from $0$ .

$- 2 y = 3$

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

Step 3

List the intersections.

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

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

Step 4