Which equation in slope-intercept form represents the line that passes through (5,11) and (-4,7)

2 answers:

Ber [7]3 years ago

8 0

Change in y / change in x
11 - 7 / 5 - - 4 = 4/9x

y = 4/9x + c

11 = 0.444444444*5 + c
11- 2.222222
8.8888

so it's y = 4/9x + 8.8 (recurring)

schepotkina [342]3 years ago

8 0

(5,11)(-4,7)
slope = (7 - 11) / (-4 - 5) = -4/-9 = 4/9

y = mx + b
slope(m) = 4/9
use either of ur points (5,11)...x = 5 and y = 11
now sub and find b, the y int
11 = 4/9(5) + b
11 = 20/9 + b
11 - 20/9 = b
99/9 - 20/9 = b
79/9 = b

so ur equation is : y = 4/9x + 79/9

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Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

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The principal must be = $8991.88

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Formula for compound interest is:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

$15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88$