Hi I need help with this question please 20 points

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]

Then our line is something like:

[tex]y = -\frac{13}{3} *x + b[/tex]

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]

Now we can write the line equation as:

[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]

This is different than -6, so the point does not belong to the line.

If you want to learn more, you can read:

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Answer:

y = -1/7x + 4

Step-by-step explanation:

(3-5)/(7-(-7)) = -2/14 = -1/7

3 = -1/7(7) + b

3 = -1 + b

b = 4

Answer:

Sum is 14

Step-by-step explanation:

c = -6

a = -3/2

m = -24/5

Step-by-step explanation:

5(c + 2) = -20

5c + 10 = -20

5c = -20 - 10

5c = -30

c = -6

12a + 5 - 8a = -1

4a + 5 = -1

4a = -1 - 5

4a = -6

a = (-6)/4

a = -3/2

m - 3 - 6m = -27

-5m - 3 = -27 → (times -1)

5m + 3 = 27

5m = 27 - 3

5m = 24

m = 24/5

Answer:

The answer is 4x^2-14x+28-69/x+2

Step-by-step explanation:

I just simplified what I could simply. I have tested to see if this is 100% correct and it is. Have a good day! :D

Answer:

-[tex]\frac{9}{2}[/tex] = -4.5

Step-by-step explanation:

-9 ÷ 2

Fraction [tex]\frac{-9}{2}[/tex] can be written as [tex]-\frac{9}{2}[/tex] by extracting the negative sign.

[tex]-\frac{9}{2}[/tex]

Factor:

[tex]\frac{(-1)x3^{2} }{2}[/tex] = -4.5

Answer:

x^2 - 6x + 8 = 0

Step-by-step explanation:

Answer:

(x-3)^2 = 17

Step-by-step explanation:

Plato/Edmentum

Answer:

x+y=t+a

Step-by-step explanation:

its seems to be the unwanted question

Answer:

s+s+s =p

2x+6+2(x-4)+x+3=p

2x+ 6 + 2x-8+x+3=p

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

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Answer:

x=12

Step-by-step explanation:

they are equal to each other, so you set 10x-48 equal to 6x and solve.

Answer:

9

Step-by-step explanation:

Numerator:18 divided by 2=9       9 times 3= 27

Denominator:3

27/3=9

Answer:

Yes ! After 3.5 hours, it will be over half full !

Step-by-step explanation:

In the photo :)

Answer:           696

Step-by-step explanation:

Answer:

EF is 26 did you go to school at all god

Answer:

26

Step-by-step explanation:

Answer: 5(p - 10) = 2p+3(p+7) has no solutions whatsoever

Step-by-step explanation: its a bit too much to explain, trust me

Answer:

Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!

Step-by-step explanation:

Answer:

Compare the unit rates.

The unit rate shows the cost for each ounce.

The lesser unit rate costs less per ounce.

The brand with the lesser unit rate is the better value.

Step-by-step explanation:

The two given angles add together to make a linear pair, which is 180 degrees.

(2x + 8) + (2x) = 180

4x + 8 = 180

4x = 172

x = 43

Angle ABC = 2(43) + 8 = 86 + 8 = 92 degrees

Hope this helps!! :)

Answer:

48

Step-by-step explanation:

The answer to 8x6 is 48.

the correct answer to 8x6 is 48

Answer:

Troy is either 16 or 32.

Step-by-step explanation:

Sorry for not giving the exact answer the question is worded badly..

Answer: 32

Step-by-step explanation:

16 + 16. if you break it down, you can get 8 x 4. so if you count 8, 16, 24, (32) is your answer.

Answer: Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be 2^3+^2= 2^5

Answer:

B is the correct answer.

Step-by-step explanation:

Answer:

x=11/10=1.100

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

You didn't show the triangle, but we suppose the coordinate of B is (x,y)

when it reflect over the line x=-1, (x , y) - > (- (x - (-1)) , y) ==>  (- (x+1) , y)

then translate (x+2,y-5) : (-(x+1) , y) -> - (-(x+1)+2 , y-5) ==>  (-x+1 , y-5)

such as (5,3) -> (-6,3) -> (-4 , -2)

Let the number be x

6a+6= a-9

collect the like terms

5a=-15

a= -3

6(-3) +6= -3 -9

-12= -12

The number is -3