Question

Write the equation of the line that is perpendicular to y = 1 and goes through (4, −9).

Answer 1

FOR PERPENDICULAR LINES WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE -1

BUT IF WE ARE TO CHECK IN THE LJNE y=1 the gradient is 0

there is no number when multiplied with 0 that will give us -1 it means that the gradient of the line perpendicular to the given one will also be 0

when we substitute in the general equation y=mx+c together with the points

`- 9 = (0)(4) + c \\ c = - 9`

IT MEANS THE EQUATION OF THE NEW EQUATION WILL BE

`y = - 9`

HOPE THIS HELPS