Choose the appropriate table for the differential equation dy dx equals x divided by y.

x −2 0 1
y −4 1 2
dy dx one half undefined one half

x −2 0 1
y −4 1 2
dy dx one half 0 one half

x −2 0 1
y −4 1 2
dy dx negative one half 0 one half
cannot be found without solving the differential equation

x−201

y−412

dy/dxone half0one half

Step-by-step explanation:

Actually, it can be solved without solving the differential equation. You just put the given numbers into the given equation.

dy/dx = x/y

For (x, y) = (-2, -4), dy/dx = (-2)/(-4) = 1/2

For (x, y) = (0, 1), dy/dx = 0/1 = 0

For (x, y) = (1, 2), dy/dx = 1/2

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.