Question

Write an equation perpendicular to the one given

Answer 1

FOR PERPENDICULAR LINES THE PRODUCT OF THEIR GRADIENTS IS -1 MEANING IF WE ARW GIVEN THAT THE GRADIENT OF THE OTHER LINE IS -2 THE GRADIENT OF THE LINE PERPENDICULAR TO IT WILL BE

`- 2 * m = - 1 \\ \\ - 2m = - 1 \\ ( - 2m)/( - 2) = ( - 1)/( - 2) \\ m = (1)/(2)`

THE GENERAL EQUATION OF A STRAIGHT LINE IS Y=MX+C

LET US FIND THE VALUE OF C USING THE POINT GIVEN

`- 3 = (1)/(2) (2) + c \\ - 3 = 1 + c \\ c = - 3 - 1 \\ c = - 4`

THE EQUATION IS

`y = (1)/(2) x - 4`

GOODLUCK!