# How do you write the equation #y+3=3(x+5)# in standard form?

##### 2 Answers

The **Standard Form of a Linear Equation** is given by

Hence our **Final Solution** in **Standard Form** is

#### Explanation:

We are given the following equation:

**Equation.1**

Using **Distributive Property** we get,

Add

On simplification we get,

**... Equation.2**

Note that we now have the equation in **Slope-Intercept Form**

Using basic algebraic concepts, we can obtain the equation in **Standard Form**

We want both the **constant** on the other side of our equation to write in **Standard Firm**

We will add **Equation.2** to get

Rewriting the equation to match **Standard Form** we get

Hope this helps.

#### Explanation:

#"the equation of a line in "color(blue)"standard form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))#

#"where A is a positive integer and B, C are integers"#

#y+3=3x+15#

#"rearrange into standard form"#

#rArr3x-y=-12larrcolor(red)"in standard form"#