Write in Standard Form y=3/4x+5

$y = \frac{3}{4} x + 5$

Step 1

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

Step 2

Multiply both sides by $4$ .

$4 y = 4 (\frac{3}{4} x + 5)$

Step 3

Simplify the right side.

Simplify $4 (\frac{3}{4} x + 5)$ .

Combine $\frac{3}{4}$ and $x$ .

$4 y = 4 (\frac{3 x}{4} + 5)$

Apply the distributive property.

$4 y = 4 \frac{3 x}{4} + 4 \cdot 5$

Cancel the common factor of $4$ .

Cancel the common factor.

$4 y = 4 \frac{3 x}{4} + 4 \cdot 5$

Rewrite the expression.

$4 y = 3 x + 4 \cdot 5$

Multiply $4$ by $5$ .

$4 y = 3 x + 20$

Step 4

Rewrite the equation.

$3 x + 20 = 4 y$

Step 5

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

Subtract $4 y$ from both sides of the equation.

$3 x + 20 - 4 y = 0$

Move $20$ .

$3 x - 4 y + 20 = 0$

Step 6

Subtract $20$ from both sides of the equation.

$3 x - 4 y = - 20$

Step 7