Write in Standard Form y=4/5x+8

$y = \frac{4}{5} x + 8$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $5$ .

$5 y = 5 (\frac{4}{5} x + 8)$

Step 3

Simplify the right side.

Simplify $5 (\frac{4}{5} x + 8)$ .

Combine $\frac{4}{5}$ and $x$ .

$5 y = 5 (\frac{4 x}{5} + 8)$

Apply the distributive property.

$5 y = 5 \frac{4 x}{5} + 5 \cdot 8$

Cancel the common factor of $5$ .

Cancel the common factor.

$5 y = 5 \frac{4 x}{5} + 5 \cdot 8$

Rewrite the expression.

$5 y = 4 x + 5 \cdot 8$

Multiply $5$ by $8$ .

$5 y = 4 x + 40$

Step 4

Rewrite the equation.

$4 x + 40 = 5 y$

Step 5

Move all terms containing variables to the left side of the equation.

Subtract $5 y$ from both sides of the equation.

$4 x + 40 - 5 y = 0$

Move $40$ .

$4 x - 5 y + 40 = 0$

Step 6

Subtract $40$ from both sides of the equation.

$4 x - 5 y = - 40$

Step 7