Answer:
D). Y = 4x -6
Step-by-step explanation:
Let's get the gradient of line MN
Gradient= (y2-y1)/(x2-x1)
Gradient=( 6-3)/(-7-5)
Gradient= 3/-12
Gradient= -1/4
For a line to be perpendicular to line MN , it gradient multiplied with line MN gradient will be equal to -1
MM'= -1
M = gradient of line MN
M' = gradient of the unknown line
MM'= -1
-1/4M'= -1
M' =( -1*4)/-1
M' = 4
So the line will have a gradient of 4
That is, the equation well be in the form of
Y= 4x +c
Where c can be a positive or negative intercept or constant.
The correct option is
D). Y = 4x -6
