Part A)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

Part B)
Given
Using the point-slope form of the line equation

where
m is the slope of the line
(x₁, y₁) is the point
In our case:
substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation


Therefore, the equation in point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:
Answer:
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Step-by-step explanation:
Start by subtracting the last two numbers
The amount add to the borrower's monthly payment is $313.33.
Given that lender requires PMI that is 0.8% of the loan amount of $470,000.
A loan's PMI, or personal mortgage insurance, is a type of mortgage insurance used by lenders when making traditional loans such as home loans. A PMI helps cover the loss to the lender (bank) if the borrower stops making monthly mortgage payments on their home loan. Therefore, the PMI can be described as a kind of risk mitigation tool for the bank when the borrower defaults on their EMIs (monthly mortgage payments). So, PMI for a borrower is an additional cost or payment for the borrower on top of his monthly payments i.e. EMI.
Thus, the additional amount of dollars that the borrower has to pay for the PMI on his loan along with his monthly mortgage payments
= Principal Loan amount × (PMI/12)
= $470,000 × (0.8%/12)
= $470,000 × (0.008/12)
= $470,000 × 0.0006666667
=$313.333349
Hence, the additional monthly payment for PMI where lender requires PMI that is 0.8% of the loan amount of $470,000 is $313.33.
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