Hello!
We need to know that if two lines are parallel, then their slopes must be equivalent. This means that the new equation has a slope of -1.
Also, to find the equation that contains the point (3, -2), we need to substitute that ordered pair with the original slope into the equation to find the y-intercept.
As a reminder, slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
-2 = -1(3) + b
-2 = -3 + b (add 3 to both sides)
1 = b
Therefore, the equation of the line is y = -x + 1.
