4. Hamed purchased pointsEach point lowered his APR by y%. The cost per point was z% of the loan amount. His new APR A% and his points cost him B dollars Write an algebraic expression for the original APR

The algebraic expression for the original APR is A% + y×B/(Initial Loan Amount)

Step-by-step explanation:

Mortgage points are charges paid to the lender directly to obtain a lower interest rate amount for a loan borrowed. Basically, it entails up front payment of interest that allows for a determination of a new reduced interest rate.

Here we have new APR = A%

Original APR = O%  

% reduction of APR per point = y%

Cost of points = B dollars

Therefore, the original APR was A% + y×B/(Loan Amount)

Hence the algebraic expression for the original APR is therefore;

Original APR = A% + y×B/(Loan Amount).

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is