Write in Standard Form y+3=7(x-2)

$y + 3 = 7 (x - 2)$

Step 1

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

Step 2

Simplify the right side.

Simplify $7 (x - 2)$ .

Apply the distributive property.

$y + 3 = 7 x + 7 \cdot - 2$

Multiply $7$ by $- 2$ .

$y + 3 = 7 x - 14$

Step 3

Rewrite the equation.

$7 x - 14 = y + 3$

Step 4

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

Subtract $y$ from both sides of the equation.

$7 x - 14 - y = 3$

Move $- 14$ .

$7 x - y - 14 = 3$

Step 5

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

Add $14$ to both sides of the equation.

$7 x - y = 3 + 14$

Add $3$ and $14$ .

$7 x - y = 17$

Step 6