Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15. An equation of the line is y= x+ .

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Step-by-step explanation:

The slope of a line in a plane would be if the equation of that line could be written in the slope-intercept form for some constant .

Find the slope of the given line by rearranging its equation into the slope-intercept form.

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Thus, the slope of the given line would be .

Two lines in a plane are perpendicular to one another if and only if the product of their slopes is .

Let and denote the slope of the given line and the slope of the line in question, respectively.

Since the two lines are perpendicular to each other, . Apply the fact that the slope of the given line is and solve for , the slope of the line in question.

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In other words, the slope of the line perpendicular to would be .

If the slope of a line in a plane is , and that line goes through the point , the equation of that line in point-slope form would be:

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Since the slope of the line in question is and that line goes through the point , the equation of that line in point-slope form would be:

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Rearrange this equation as the question requested:

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step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

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%