# What is the equation of the line passing through the point (4, 6) and parallel to the line y= 1/4x + 4?

##### 2 Answers

#### Explanation:

To draw a line you either need twoof its points, or one of its points and its slope. Let's use this second approach.

We already have the point

First of all, two lines are parallel if and only if they have the same slope. So, our line will have the same slope as the given line.

Secondly, to derive the slope from a line, we write its equation in the

In this case, the line is already in this form, so we immediately see that the slope is

Recapping: we need a line passing through

where

Expanding the right hand side:

Add

So the answer is

Parallel lines have the same slope, so the missing equation must have

Following the given, substituting

This becomes:

Substituting into slope-intercept form, the final answer becomes: