What is an equation of the line that passes through the point (-7,3) and is perpendicular to the line x-y=9

Question

What is an equation of the line that passes through the point (-7,3) and is perpendicular to the line x-y=9

Answer 1

y= -x-4 is the perpendicular line through (-7,3)

perpendicular lines have slopes that are negative inverses, in this problem = -1, the coefficient of the x term when the equation is solved for y

plug in the point

3 =-(-7)-4 = 7-4 = 3