Solve y-(-2)=x-4/4(x-2)

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

Solve for y

$$y=-\frac{x\left(6-x\right)}{4}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$4y-\left(-8\right)=\left(x-4\right)\left(x-2\right)$$

The opposite of -8 is 8.

$$4y+8=\left(x-4\right)\left(x-2\right)$$

Use the distributive property to multiply x-4 by x-2 and combine like terms.

$$4y+8=x^{2}-6x+8$$

Subtract 8 from both sides.

$$4y=x^{2}-6x+8-8$$

Subtract 8 from 8 to get 0.

$$4y=x^{2}-6x$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{x\left(x-6\right)}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{x\left(x-6\right)}{4}$$

Solve for x (complex solution)

$$x=\sqrt{4y+9}+3$$

$$x=-\sqrt{4y+9}+3$$

Solve for x

$$x=\sqrt{4y+9}+3$$

$$x=-\sqrt{4y+9}+3\text{, }y\geq -\frac{9}{4}$$