Solve for a y=ax+2

$y = a x + 2$

Rewrite the equation as $a x + 2 = y$ .

$a x + 2 = y$

Subtract $2$ from both sides of the equation.

$a x = y - 2$

Divide each term in $a x = y - 2$ by $x$ and simplify.

Divide each term in $a x = y - 2$ by $x$ .

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

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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