Find the directional derivative of p=4e^2x-y+z at points (1,1,-1) in direction towards

The line would be -2x + y = 2

Step-by-step explanation:

To find this line, we first need to find the slope. We can do this with the points and the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - 6)/(3 - 2)

m = 2/1

m = 2

Now that we have the slope, we can use that and a point in point-slope form. From there, we can manipulate the equation into standard form.

y - y1 = m(x - x1)

y - 6 = 2(x - 2)

y - 6 = 2x - 4

-2x + y - 6 = -4

-2x + y = 2