# How do you write the equation y-13=4(x-2) in standard form?

Jun 12, 2017

$- 4 x + y = 5$

#### Explanation:

$y - 13 = 4 \left(x - 2\right)$

step 1: get rid of the parenthesis by using the distributive property

$y - 13 = 4 x - 8$

Step 2: move the x and y to the same side of the equation I decided to move the x to the left side

$y - 13 - 4 x = 4 x - 4 x - 8 \to y - 4 x - 13 = - 8$

Step 3: Move the constants to the side without the variables in this case add 13 to both sides.

$y - 4 x - 13 + 13 = - 8 + 13 \to y - 4 x = 5$

Step 4: standard form typically puts the x first...don't forget to take the negative sign with it.

$- 4 x + y = 5$