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

Answer 1

y=-2x +b

10 ==2(7)+b

b = 10+14 =24

y =-2x +24 is the perpendicular line through the given point

perpendicular lines have slope that is the inverse negative of the other lines

take 1/2, flip it upside down and change its sign to -2/1 = -2

then plug in the point with x=7, y=10 to solve for b = the y intercept of the perpendicular line