Find the equation of the line that satisfies f( - 1) = 4 and f(5) = 1. Use x for input and y for output, and write your answer in slope intercept form.

y=-1/2x+7/2

Step-by-step explanation:

For this problem, we are given f(-1)=4 and f(5)=1. This means the points are (-1,4) and (5,1). We can use the slope formula to find the slope. The formula is .

Now that we know the slope, we can fill in what we know to solve for the y-intercept.

y=-1/2x+b

With any of the given points, we can plug in and solve for b.

4=-1/2(-1)+b          [multiply]

4=1/2+b                [subtract both sides by 1/2]

Now that we have the y-intercept, we can complete the equation.

y=-1/2x+7/2

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.