# How do you write the equation of the line that passes through the point (1,4) and is parallel to the line 4x+5y=21?

##### 1 Answer

Aug 27, 2017

Here's the quick and easy way...

#### Explanation:

Every line parallel to that one has the same slope.

The slope is determined by the ratio of the coefficients of x and y.

If we keep the left side the same, we'll have a parallel line.

So...

what to put on the right?

Using

Therefore, the line

is parallel to the original and passes through (1, 4).