Equation of line passes through (5,-1) and (4,-5)

y+1 = 4(x-5) or y+5 = 4(x-4) or y=4x-21

Step-by-step explanation:

slope m =

using points given, slope m = (-1+5)/(5-4) = 4/1=4

point slope formula: y-y1 = m(x-x1)

use any point for y1 and x1

y+1 = 4(x-5) or y+5 = 4(x-4)

y=4x-20-1 = 4x-21

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c