Question

Find the equation of the line! The line is perpendicular to the graph of y=8x−3 and contains the point (4, −1).

PLEASE HELP ASAP!!!!!!

Answer 1

`y=-(1)/(7)-0.5`

Explanation:

Answer 2

`m1 * m2 = - 1 \\ 8 * m2 = - 1 \\ m2 = ( - 1)/(8)`

THE NEW GRADIENT IS AS INDICATED ABOVE THE GRADIENTS OF PERPENDICULAR LINES WHEN MULTIPLIED THEY GIVE -1

`y = mx + c \\ - 1 = ( - 1)/(8) (4) + c \\ - 1 = ( - 1)/(2) + c \\ c = - 1 + (1)/(2) \\ c = ( - 1)/(2)`

THEREFORE THE NEW EQUATION IS

`y = - ( - 1)/(8) x - (1)/(2)`

HOPE THIS HELPS!