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

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

Step 1

Find the x-intercepts.

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

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

Solve the equation.

Rewrite the equation as $\frac{x}{2} - 3 = 0$ .

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

Add $3$ to both sides of the equation.

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

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot 3$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot 3$

Rewrite the expression.

$x = 2 \cdot 3$

Simplify the right side.

Multiply $2$ by $3$ .

$x = 6$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

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

Solve the equation.

Remove parentheses.

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

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

Divide $0$ by $2$ .

$y = 0 - 3$

Subtract $3$ from $0$ .

$y = - 3$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4