# How do you write an equation of a line going through (7,1) parallel to y=-x+3?

##### 1 Answer

Oct 10, 2016

#### Answer:

#### Explanation:

Equations that are parallel have the same slope.

The standard equation of an equation is written through slope intercept form, which is

So, in the equation provided, -1 is the slope.

To write an equation when given a slope and points, you use point slope form, which is

So,

As stated before, m is the slope, and the slope is given as -1

Plug in the numbers into the equation

Distribute -1 throughout the parenthesis

Add 1 on both sides of the equation

And there you have a equation parallel to