Solve y-0=1-0/-1-2(x-2)

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

Solve for x

$$x=2-3y$$

Steps for Solving Linear Equation

Subtract 0 from 1 to get 1.

$$y-0=\frac{1}{-1-2}\left(x-2\right)$$

Subtract 2 from -1 to get -3.

$$y-0=\frac{1}{-3}\left(x-2\right)$$

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$y-0=-\frac{1}{3}\left(x-2\right)$$

Use the distributive property to multiply -\frac{1}{3} by x-2.

$$y-0=-\frac{1}{3}x+\frac{2}{3}$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{3}x+\frac{2}{3}=y-0$$

Subtract \frac{2}{3} from both sides.

$$-\frac{1}{3}x=y-0-\frac{2}{3}$$

Reorder the terms.

$$-\frac{1}{3}x=y-\frac{2}{3}$$

Multiply both sides by -3.

$$\frac{-\frac{1}{3}x}{-\frac{1}{3}}=\frac{y-\frac{2}{3}}{-\frac{1}{3}}$$

Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.

$$x=\frac{y-\frac{2}{3}}{-\frac{1}{3}}$$

Divide y-\frac{2}{3} by -\frac{1}{3} by multiplying y-\frac{2}{3} by the reciprocal of -\frac{1}{3}.

$$x=2-3y$$

Solve for y

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

Solution Steps

Subtract 0 from 1 to get 1.

$$y-0=\frac{1}{-1-2}\left(x-2\right)$$

Subtract 2 from -1 to get -3.

$$y-0=\frac{1}{-3}\left(x-2\right)$$

Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$y-0=-\frac{1}{3}\left(x-2\right)$$

Use the distributive property to multiply -\frac{1}{3} by x-2.

$$y-0=-\frac{1}{3}x+\frac{2}{3}$$

Add 0 to both sides.

$$y=-\frac{1}{3}x+\frac{2}{3}+0$$

Add \frac{2}{3} and 0 to get \frac{2}{3}.

$$y=-\frac{1}{3}x+\frac{2}{3}$$