Please show work Write the point-slope form of the equation of the line through the given points.
3) through: (4,5) and (0,2)

y - 5 = 3/4 (x - 4) so A

Step-by-step explanation:

It's would be A because the original equation is Y - Y1 = m (X - X1)

Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4

If you plug those in the equation, it will give you y - 5 = m(x - 4)

Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be

y - 5 = 3/4 (x - 4)

11 years

Step-by-step explanation:

Given that:

Advert A:

Principal, p = $24,200

Interest rate, r = 6.5% = 6.5/100 = 0.065

Time, t =?

Total Repayment, A = $41,503

Using the relation :

A = p(1 + rt)

Plugging our values

41503 = 24200(1 + 0.065t)

41503 / 24200 = 1 + 0.065t

1.715 = 1 + 0.065t

1.715 - 1 = 0.065t

0.715 = 0.065t

t = 0.715 / 0.065

t = 11 years

Loan in Advert A will be paid back in 11 years