Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)
y =

Answers

Answer 1

Answer:

y =5

Step-by-step explanation:

m=

−9−7

5−5

=

−16

0

=0

y=mx+b

5=(0)(7)+b

b=5

therefore y = 5

Answer 2

Answer:  y = -2x - 1

Step-by-step explanation:

We can calculate the slope from the two given points.  Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)

Rise is (-9 -3) = -12

Run is (4 - (-2)) = 6

Slope = Rise/Run = -12/6 = -2

The line is y = -2x + b

Find b by using either of the two known points (solutions).  I'll choose (-2,3) [because I like smaller numbers]

y = -2x + b

3 = -2*(-2) + b

b = -1  [That was only slightly easier than -9 = -2*(4) + b; b = -1]

The equation is y = -2x - 1


Related Questions

no of tulips is 2 more than thrice the amount of tulips express in a linear equation​

Answers

Answer:

x = 3x + 2

Step-by-step explanation:

Let the number of tulips is x, then the equation is:

x = 3x + 2

help me please anyone please

Answers

Answer:

b=5 m

Step-by-step explanation:

and y =

4

4

Which is the solution of the equation (4y - 3)2 = 12?

3+2v3

3-23

a. y =

3+2V2

b. y =

and y =

-3-2V2

4

63

-63

y=-

and y =

4

4

3v2

-3/

and y =

4

C.

d. y =

4

4

Answers

Answer

10

Step-by-step explanation:

3. Find the sum of TU and OL.

Answers

Answer:

18

Step-by-step explanation:

by similarity of triangles TYU and OYL we have

[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]

then

TU=6, OL=12

Someone Smart Help With Math!

Answers

Answer:

-48. You multiply the figures

Answer:

B. -48

Explanation:

Simply -16 multiplied by 3. When one negative number is multiplied, the product is a negative. When two negative numbers are multiplied together, the product is positive.

Al desarrollar (2x + y)5, se obtiene

Answers

=10x5y

Hope it helps

can one of you unhelpful users answer the question without putting links as a d a m n answer?
1. A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit.











2. A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1.

Answers

Answer:

1) [tex]y-6=-\frac{2}{3} (x-1)[/tex] and 2) [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]

Step-by-step explanation:

Ikr the bots are annoying.

Point-slope form is written as: [tex]y-y_1=m(x-x_1)[/tex]

Slope intercept form is written as: [tex]y=mx+b[/tex]

We also need to find the slope before putting it in this form, which can be done by [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

1) Points given are (1,6) and (-2,8)

Slope: [tex]m=\frac{8-6}{-2-1} =-\frac{2}{3}[/tex]

You can choose either of the two points to put into the formula. I just chose (1,6)

Answer: [tex]y-6=-\frac{2}{3} (x-1)[/tex]

2) Same points as before and we have the same slope as before. All we need is to find the y intercept which is our b in the equation. You can easily do this by plugging in a point and solving for b. I will choose point (1,6) again.

[tex]6=-\frac{2}{3} (1)+b[/tex]

[tex]6=-\frac{2}{3} +b[/tex]

[tex]6+\frac{2}{3}=-\frac{2}{3} +\frac{2}{3} +b[/tex]

[tex]b=6+\frac{2}{3}=\frac{20}{3}[/tex]

Answer: [tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]

452 x 58 = 3616 + 3400 =
362 x 92 = 544 + 280 =

Answers

1) 452 x 58 =26216

2) 3616 + 3400 = 7016

3) 362 x 92 = 33304

4) 544 + 280 = 824

Hope this helped you- have a good day bro cya)

452 x 56 = 17176
3616 + 3400 = 7016
17176 = 7016
362 x 92 = 33304
544 + 280 = 824
33304 = 824

Determine the place value of the digit 3 in the whole number. 30,500,421

Answers

Answer:

30,000,000 or Thirty million -------> Ten millions place

Step-by-step explanation:

Hope this helps!

please help! absolute value problem

Answers

Answer:

first blank: -x

second blank x

Step-by-step explanation:

7 divided by 55, but every step must be show

Answers

Answer:

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 55 on the right side like this:

             

   7 ⟌ 5 5  

Step 2:

The divisor (7) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

       0    

   7 ⟌ 5 5  

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

       0    

   7 ⟌ 5 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

       0    

   7 ⟌ 5 5  

     - 0    

       5    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 6:

The divisor (7) goes into the bottom number (55), 7 time(s). Therefore, put 7 on top:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 7:

Multiply the divisor by the result in the previous step (7 x 7 = 49) and write that answer at the bottom:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

      4 9  

Step 8:

Subtract the result in the previous step from the number written above it. (55 - 49 = 6) and write the answer at the bottom.

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

     - 4 9  

         6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Find the value of x that makes p||q

Answers

Answer:

x = 30

Step-by-step explanation:

The angle on the opposite side as the identified angle (80°) is whatever is left over from 180° (which would be 100°). Therefore, the angle on the diagonally opposite side is identical.

On a given day, the exchange rate from US dollars to Australian dollars was 1 US dollar = 1.31 Australian dollar. About how much could you get in Australian dollars if you exchanged $560 US dollars on that day?

Answers

Answer:

733.6

Step-by-step explanation:

I did it

solve the fallowing system of equations for x
x+2y=4
x-2y=12

Answers

Step-by-step explanation:

x+2y=4

x-2y=12

______ ( add both equation)

2x = 16

x= 16/2

x= 8

Hope it helps ya

Use the function f(x) = –2|5-x| – 13 to evaluate f (6).

Answers

Answer:

-15

Step-by-step explanation:

-2 |5 - x| - 13

-2 |5 - 6| - 13

-2|-1| - 13

-2 - 13

-15

Hopefully this helps!

Brainliest please?

8.
Look at the triangle below. Which of the following statement is true?
Q
7
6
R
5
A
B.
ZPis the smallest angle.
ZQis the largest angle.
ZR is the largest angle.
ZR is the smallest angle.
C.
D.

Answers

Answer:

b

Step-by-step explanation:

Plz help it’s due tonight!!!

Answers

Answer:

T = N

Step-by-step explanation:

copy the picture and put a dot on where i put it

Answers

Answer:

Step-by-step explanation:

I Hope This Help

Answer:

hERE

Step-by-step explanation:

What is the length of time
passed from 7:30 a.m. to 4:30 p.m.?

Answers

Answer:

9 hours

Step-by-step explanation:

12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9

2c–8°, 3c–14°, and c+15°

solve for c

Answers

Answer:

Simplifying

c + -2 = 3c + 14

Reorder the terms:

-2 + c = 3c + 14

Reorder the terms:

-2 + c = 14 + 3c

Solving

-2 + c = 14 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

-2 + c + -3c = 14 + 3c + -3c

Combine like terms: c + -3c = -2c

-2 + -2c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0

-2 + -2c = 14 + 0

-2 + -2c = 14

Add '2' to each side of the equation.

-2 + 2 + -2c = 14 + 2

Combine like terms: -2 + 2 = 0

0 + -2c = 14 + 2

-2c = 14 + 2

Combine like terms: 14 + 2 = 16

-2c = 16

Divide each side by '-2'.

c = -8

Simplifying

c = -8

Step-by-step explanation:

Which situation results in a final value of zero?

the overall change in temperature when the temperature goes from -10°F to 10°F

the total profit made when a person buys an item for $3 and then sells the item for $3

the overall change in altitude of a hot air balloon after rising 21 kilometers from sea level

the total distance a person travels when he bikes 5 miles to school and then bikes 5 miles back home

Answers

B and D because 3-3 =0 and 5-5= 0.

Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?theses are the answers you chose froma: correct ratiob:7:8c: 5;8d: 8:7

Answers

Answer:

No, Emma is not correct.

Step-by-step explanation:

because if we put 35 and 42 in rational form we can write it to its simple form by dividing it

35 / 7 = 5

42 / 7 = 6

after dividing we get the answer as 5:6.

Hope it helps ☺️

what is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

Answers

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

If [tex]y = 2\cdot x + 3[/tex] is a line tangent to the parabola [tex]y = c\cdot x^{2}[/tex], then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

[tex]2\cdot c \cdot x = 2[/tex] (1)

Then, we have the following system of equations:

[tex]y = 2\cdot x + 3[/tex] (1)

[tex]y = c\cdot x^{2}[/tex] (2)

[tex]c\cdot x = 1[/tex] (3)

Whose solution is shown below:

By (3):

[tex]c =\frac{1}{x}[/tex]

(3) in (2):

[tex]y = x[/tex] (4)

(4) in (1):

[tex]y = -3[/tex]

[tex]x = -3[/tex]

[tex]c = -\frac{1}{3}[/tex]

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

We kindly invite to check this question on tangent lines: https://brainly.com/question/13424370

What is the equation of the linear model in point-slope form that includes the point (-3, 1) and has a slope of 3?
Please show work for brainliest

Answers

Answer:

A) You would use the two points that are closest to the graphed line

(2,7) and (8,13)

B) Slope = change in Y over the change in X:

Slope = (13-7) / (8-2) = 6/6 = 1

Slope = 1

c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.

Equation is: y-7 = x-2

d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.

To isolate Y add 7 to both sides:

y = x +5

Step-by-step explanation:

The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Here, it is given that line passes though point (-3,1) and having slope of 3.

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-1) = 3(x-(-3))

y -1 = 3x + 9

y = 3x + 9 + 1

y = 3x + 10

Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.

check and know more about line here :

brainly.com/question/14914699

#SPJ5

A unit to express volume is?

Answers

Answer:

Please mark Brian List The answer is Cubic units

Answer:

The unit used to express volume is cubic units

any unit but it should be cubic

like cm³ ml³

what is the GCM of 9 and 7

Answers

Answer: See explanation

Step-by-step explanation:

Do you mean the greatest common factor (GCF), or the lowest common multiple (LCM).

If you mean GCF, then it is 1 because 7 is a prime number and has two facotrs (1 and itself) and since 9 isn’t divisible by 7, the GCF must be 1.

If you mean the LCM, the answer is 63. Using prime factorisation, we find the lowest prime factor of both numbers:

9 = 3^3

7= 7^1

Then, we multiply these together to give 63.

You cannot have a GCM, because you can’t find a greatest common multiple as numbers go on forever.

I hope this helps!

[tex]\sf 500+600+500[/tex]

Answers

Answer:

1,600

Step-by-step explanation:

pls brainliest plss

How do I answer that question

Answers

Man I have no clue breh

Answer:

9

Step-by-step explanation:

7³÷7⁷=9

it is correct right?

3x - 2y = 8
2x + 2y = -8

Answers

Answer:

(0, - 4 )

Step-by-step explanation:

3x - 2y = 8 → (1)

2x + 2y = - 8 → (2)

Adding (1) and (2) term by term will eliminate the y- term

5x + 0 = 0

5x = 0 , then

x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 2y = - 8

0 + 2y = - 8

2y = - 8 ( divide both sides by 2 )

y = - 4

solution is (0, - 4 )

1. y=3/2x-4
2. y=-1x-4
Hope this helps :)
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