Given δabc with a(–4, –2), b(4, 4), and c(18, –8), write the equation for the line containing median segment the term is line segment cp. in slope intercept form

Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

.

The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

.

Now, we can write the equation of the line with slope -1/2, passing through
P(0, 1):

.

 

Let the amount Juan borrows from the from school be x, and the amount borrowed in government be y.
Total amount of money will be:
x+y=100,000
x=100,000-yi
given that the interest charged from the money is simple interest, the amount of interest charged from x will be:
interest=(PRT)/100
=(x×4.5×4)/100
=0.18x

interest charged in y will be:
(y×6x4)/100
=0.24y
therefore the total interest will be:
0.18x+0.24y=19200ii
substituting i in ii we get:
0.18(100000-y)+0.24y=19200
18000-0.18y+0.24y=19200
0.24y-0.18y=19200-18000
0.06y=1200
y=1200/0.06
y=20,000
x=10000-20000
x=80,000
therefore he borrowed $80,000 from school and $20,000 from government.