Solve y=-2/4x+2

$$y = \frac { - 2 } { 4 } x + 2$$

Solve for x

$$x=4-2y$$

Steps for Solving Linear Equation

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

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

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

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

Subtract 2 from both sides.

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

Multiply both sides by -2.

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

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

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

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

$$x=4-2y$$

Solve for y

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

Solution Steps

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

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