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