Find the x and y Intercepts f(x)=1/2(2x-4)

$f (x) = \frac{1}{2} (2 x - 4)$

Step 1

Find the x-intercepts.

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

$0 = \frac{1}{2} \cdot (2 x - 4)$

Solve the equation.

Rewrite the equation as $\frac{1}{2} \cdot (2 x - 4) = 0$ .

$\frac{1}{2} \cdot (2 x - 4) = 0$

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (2 x - 4)) = 2 \cdot 0$

Simplify both sides of the equation.

Simplify the left side.

Simplify $2 (\frac{1}{2} \cdot (2 x - 4))$ .

Apply the distributive property.

$2 (\frac{1}{2} (2 x) + \frac{1}{2} \cdot - 4) = 2 \cdot 0$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$2 (\frac{1}{2} (2 (x)) + \frac{1}{2} \cdot - 4) = 2 \cdot 0$

Cancel the common factor.

$2 (\frac{1}{2} (2 x) + \frac{1}{2} \cdot - 4) = 2 \cdot 0$

Rewrite the expression.

$2 (x + \frac{1}{2} \cdot - 4) = 2 \cdot 0$

Cancel the common factor of $2$ .

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Apply the distributive property.

$2 x + 2 \cdot - 2 = 2 \cdot 0$

Multiply $2$ by $- 2$ .

$2 x - 4 = 2 \cdot 0$

Simplify the right side.

Multiply $2$ by $0$ .

$2 x - 4 = 0$

Add $4$ to both sides of the equation.

$2 x = 4$

Divide each term in $2 x = 4$ by $2$ and simplify.

Divide each term in $2 x = 4$ by $2$ .

$\frac{2 x}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{4}{2}$

Divide $x$ by $1$ .

$x = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$x = 2$

x-intercept(s) in point form.

x-intercept(s): $(2, 0)$

Step 2

Find the y-intercepts.

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

$y = \frac{1}{2} \cdot (2 (0) - 4)$

Solve the equation.

Remove parentheses.

$y = \frac{1}{2} \cdot (2 (0) - 4)$

Simplify $\frac{1}{2} \cdot (2 (0) - 4)$ .

Simplify the expression.

Multiply $2$ by $0$ .

$y = \frac{1}{2} \cdot (0 - 4)$

Subtract $4$ from $0$ .

$y = \frac{1}{2} \cdot - 4$

Cancel the common factor of $2$ .

Factor $2$ out of $- 4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$y = - 2$

y-intercept(s) in point form.

y-intercept(s): $(0, - 2)$

Step 3

List the intersections.

x-intercept(s): $(2, 0)$

y-intercept(s): $(0, - 2)$

Step 4

Find the x and y Intercepts f(x)=1/2(2x-4)

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