PLEASE HELP ASAP

If a line is perpendicular, then its slope is a negative reciprocal.

First, rearrange the equation so that it's in slope-intercept form.

4x - 12y = 2

4x - 2 = 12y

12y = 4x - 2

y = 1/3x - 1/6

So the negative reciprocal of 1/3x is -3x, so the slope of the new line is -3x.

Tbh at this point it's kind of useless to work out the rest because you can see from the options only one of them has a slope of -3x, and that's the 3rd one.

I'll still work the rest out though:

So you have your half-made equation:

y = -3x + b (the y-intercept)

So you use the given points to substitute in for y and x to find out b.

10 = x; -1 = y

-1 = -3(10) + b

-1 = -30 + b

-1 + 30 = b

29 = b

Therefore, your final equation is y = -3x + 29

Surprise surprise, that's still the 3rd one.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%

hope this is what you were asking for!

step-by-step explanation: