Aline perpendicular to y=x/4-2 and intersects the points (4,-1) what is the equation of this perpendicular line

Step-by-step explanation:

hello :

the equation is : y = ax+b

the slope is a : a×(1/4) = -1( perpendicular to a line with a slope of 1/4)  because

y=x/4 -2  means y = (1/4)x -2... the slope is : 1/4

but :   a×(1/4) = -1   so : a = - 4      y= - 4x+b

the line that passes through (4, -1)

-1 =-4(4)+b

b = 15

the equation is :  y  = - 4x+15

b

step-by-step explanation: