2. Find the equation of the line that goes through the point (2, 3) parallel to the line whose equation is x + y = 3.
We use the point slope form of the equation
We need the slope. The information we are given tells us the line is parallel to the line whose equation is
Unfortunately, this equation is not in slope-intercept form. To put it into slope intercept form, we solve for y
When the equation of the line is solved for y, the slope is the coefficient of the x term which in this case is -1. So
We are given the point
We put this into the point slope form of the equation
This can be simplified if we solve for y