Write an equation perpendicular to the equation through the

Write an equation perpendicular to the equation through the given point. y + 2 = - 1/2(x - 4); (-5,17)

Solution

The slope of the given line is m1 = -1/2

To get the perpendicular slope we use m1 .m2 = -1

so , m2 = 2

So , equation of line passing through ( -5,17) as ( x1,y1) and slope 2 is

y - y1 = m2 ( x- x1)

y -17 = 2 ( x + 5)

y -17 = 2x + 10

y -2x = 27