Write in Standard Form y+3=4(x-1)

$y + 3 = 4 (x - 1)$

Step 1

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

Step 2

Simplify the right side.

Simplify $4 (x - 1)$ .

Apply the distributive property.

$y + 3 = 4 x + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$y + 3 = 4 x - 4$

Step 3

Rewrite the equation.

$4 x - 4 = y + 3$

Step 4

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

Subtract $y$ from both sides of the equation.

$4 x - 4 - y = 3$

Move $- 4$ .

$4 x - y - 4 = 3$

Step 5

Move all terms not containing a variable to the right side of the equation.

Add $4$ to both sides of the equation.

$4 x - y = 3 + 4$

Add $3$ and $4$ .

$4 x - y = 7$

Step 6