Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9

Answer 1

slope of a perpendicular line is the negative inverse: change the sign of 1/2 and flip it upside down to get -2

y = -2x + b, where b is the y intercept. plug in the point to solve for b

10=-2(7) + b

b = 10+ 14 = 24

y = -2x +24 is the perpendicular line through (7,10)