Find the x and y Intercepts y=-12+4/x

$y = - 12 + \frac{4}{x}$

Find the x-intercepts.

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

$0 = - 12 + \frac{4}{x}$

Solve the equation.

Rewrite the equation as $- 12 + \frac{4}{x} = 0$ .

$- 12 + \frac{4}{x} = 0$

Add $12$ to both sides of the equation.

$\frac{4}{x} = 12$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Multiply each term in $\frac{4}{x} = 12$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{4}{x} = 12$ by $x$ .

$\frac{4}{x} x = 12 x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{4}{x} x = 12 x$

Rewrite the expression.

$4 = 12 x$

Solve the equation.

Rewrite the equation as $12 x = 4$ .

$12 x = 4$

Divide each term in $12 x = 4$ by $12$ and simplify.

Divide each term in $12 x = 4$ by $12$ .

$\frac{12 x}{12} = \frac{4}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} = \frac{4}{12}$

Divide $x$ by $1$ .

$x = \frac{4}{12}$

Simplify the right side.

Cancel the common factor of $4$ and $12$ .

Factor $4$ out of $4$ .

$x = \frac{4 (1)}{12}$

Cancel the common factors.

Factor $4$ out of $12$ .

$x = \frac{4 \cdot 1}{4 \cdot 3}$

Cancel the common factor.

$x = \frac{4 \cdot 1}{4 \cdot 3}$

Rewrite the expression.

$x = \frac{1}{3}$

x-intercept(s) in point form.

x-intercept(s): $(\frac{1}{3}, 0)$

Find the y-intercepts.

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

$y = - 12 + \frac{4}{0}$

The equation has an undefined fraction.

Undefined

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

y-intercept(s): $None$

List the intersections.

x-intercept(s): $(\frac{1}{3}, 0)$

y-intercept(s): $None$

Find the x and y Intercepts y=-12+4/x

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