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3 years ago

Which is the equation for a line that passes through the points (3 , 1) and (4 , -1) ?

Mathematics

1 answer:

Ne4ueva [31]3 years ago

4 0

Answer:

Y= -2x+7

Step-by-step explanation:

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(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

olga nikolaevna [1]

Answer:

y = x+2

Step-by-step explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute numbers

Slope = $\frac{4-(-2)}{2-(-4)}$

Two negatives = one positive

Simplify

$Slope = \frac{4+2}{2+4}=\frac{6}{6}=1$

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

Slope intercept form is y = mx+b

Answer is y = x+2

Hope this helps :)

6 0

3 years ago

What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

6 0

3 years ago

I need help Asap I can not go in the middle

cestrela7 [59]

You my son the answer would’ve my cuh

6 0

3 years ago

How many vertices have an odd degree?

sashaice [31]

did you find the answers :( ??

6 0

3 years ago

Read 2 more answers

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

<u>The formula for the monthly payment</u>.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The <u>total amount paid</u> over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago