Solve y=4/9x+5.text{Line}k

$$y = \frac { 4 } { 9 } x + 5 . \text { Line } k$$

Solve for x

$$x=\frac{9\left(y-5\right)}{4}$$

Steps for Solving Linear Equation

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

$$\frac{4}{9}x+5=y$$

Subtract 5 from both sides.

$$\frac{4}{9}x=y-5$$

Divide both sides of the equation by \frac{4}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{9}x}{\frac{4}{9}}=\frac{y-5}{\frac{4}{9}}$$

Dividing by \frac{4}{9} undoes the multiplication by \frac{4}{9}.

$$x=\frac{y-5}{\frac{4}{9}}$$

Divide y-5 by \frac{4}{9} by multiplying y-5 by the reciprocal of \frac{4}{9}.

$$x=\frac{9y-45}{4}$$

Solve for y

$$y=\frac{4x}{9}+5$$