What’s the equation of the line that passes through (5,2) and (4,1)

  y = x - 3

Step-by-step explanation:

The 2-point form of the equation of a line can be written as ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For the given points, this becomes ...

  y = (1-2)/(4-5)(x -5) +2 . . . . . fill in the numbers

  y = (-1)/(-1)(x -5) +2 . . . . . . . . simplify a bit

  y = x -5 +2 . . . . . . . . . . . . . . simplify more

  y = x -3 . . . . the equation of the line

a negative exponent is translated as follows:

so, we have