# How do you write an equation in slope-intercept form for a line that is parallel to the given line y = 1/3x + 5 and passes through the given point(0,-5)?

##### 1 Answer

#### Explanation:

As you might know, lines that are parallel have the same value at

To get the full equation, there is a formula, but there's also a way if you don't know the formula. Let's do it without the formula first:

**Without the formula**

Let's write down what we know of our function at the moment:

All we need to know is

It's that easy! The equation is thus:

**With the formula**

The formula to find the equation of a line through a given point and with a given slope is:

where

In this case, it will be: