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

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

the answer is d

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