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

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

Step 1

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

Step 2

Simplify the right side.

Simplify $- 3 (x - 7)$ .

Apply the distributive property.

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

Multiply $- 3$ by $- 7$ .

$y - 2 = - 3 x + 21$

Step 3

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

Add $3 x$ to both sides of the equation.

$y - 2 + 3 x = 21$

Move $- 2$ .

$y + 3 x - 2 = 21$

Reorder $y$ and $3 x$ .

$3 x + y - 2 = 21$

Step 4

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

Add $2$ to both sides of the equation.

$3 x + y = 21 + 2$

Add $21$ and $2$ .

$3 x + y = 23$

Step 5