Find the equation of the line passing through (1,4) and (-2,-1).

Answers

Answer 1

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!


Related Questions

Estimate 307% of 29.

Answers

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

I just learned this kind of confused :(

Answers

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

7x (6 x t) and (7 x 6) x t​

Answers

If your question is which propperty is used in that opperation

Answer: The commutative property of multiplication

Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.

Giving 40 points

Solve each system by substitution

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x & y

[tex] \underline {\underline{ \text{ Solution}}} : [/tex]

From equation ( i ) :

-4x - y = 19

-y = 19 + 4x

-y = - ( -19 - 4x )

y = -4x - 19 ------ Equation ( iii )

Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :

[tex] \tt{x - 2y = - 7 }[/tex]

⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]

⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]

⇾ [tex] \tt{9x = - 7 - 38}[/tex]

⇾ [tex] \tt{9x = - 45}[/tex]

⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]

⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]

Substituting the value of x in equation ( i ) , we get :

⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]

⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]

⇾ [tex] \tt{ - 2y = - 2}[/tex]

⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]

⇾ [tex] \boxed{ \tt{y = 1}}[/tex]

The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .

[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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100 pts for a few questions Ill give brainliest! (if you answer 5 ?s you get the other 50)

Answers

Answer: ik nothing of basketball sorry

Answer:

11

Step-by-step explanation:

its the most common number


HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?

Answers

Answer:

he will pay $133.10

Step-by-step explanation:

BlacIf w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1?

(-2) 2 - (-8) + 1
(-2) 2 - (8) + 1
-2 2 - (-8) + 1
-2 2 - 8 + 1

Answers

Answer:

-2²   - (-8)  + 1

Step-by-step explanation:

The values given are:

             w = -2 and v = -8

Expression given:

             w² - v + 1

When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.

 For this problem:

     w = -2

      v  = -8

So;

            -2²   - (-8)  + 1

Answer:

Given that w=-2 and v=-8

The expression is w²-v+1

Now putting the value of w=-2 and v=+8 in the given expression, we get

(-2)²-(-8)+1

Hence, (-2)²-(-8)+1 is the right answer.

What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.

Answers

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

Solve for the variable. You may use the hangers to help you.

40 = 2f + 12
f
f
40
12

Answers

Answer:

i don't know what the hangers are for but the calculation is given below

Step-by-step explanation:

40 = 2f + 12

40 - 12 = 2f

28 = 2f

28/2 = f

14 = f

therefore f = 14

2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27

Answers

Answer:

3a-27

Step-by-step explanation:

Distribute the 3

3 x a is 3a

3 x 9 is 27

3a - 27

distribute the 3 to everything in the parenthesis

3 (a) = 3a
3 (-9) = -27

1. Gold is an element. What does an element of gold contain? (S8P1.a) DOK 5 point
1
one kind of compound
O a single type of atom
O a simple mixture of different atoms
O one mixed substance of two different metals

Answers

One single type of atom.

the difference of a number t and 9

t-9 or 9-t

Answers

T-9 the Clue is in the Problem I hope this helps

my head is empty for now, i rly can't with online classes

so anyone wanna help me?

Answers

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

I REALLY NEED HELP ON THIS!!! The graph below shows the amount of snowfall recorded in New York during that time. Write an equation to represent the relationship between amount of snow accumulated and time.

Answers

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

2. Solve the equation for x.
14 - x = 5x - 4

Answers

Answer:

x=3

Step-by-step explanation:

14-x=5x-4

Add the x from the left side to the right

14=6x-4

and the 4 to the left side

16=6x

6x=18

x=3

Answer:

x = 3

Step-by-step explanation:

If we substitute  x for 3 it will give u the following expression:

14 - 3 = 5 x 3 - 4

If we solve both these expressions they will both give us: 11

This will prove the equation correct

Which expression is NOT equivalent to 2.89 × 0.6?
(289 × 6) × (110 × 110)
(0.289 × 6) × (10 × 110)
(289 × 6) × (1100 × 110)
(289 × 60) × (1100 × 1100)

Answers

Answer:

(289x6)x(110x110)

Step-by-step explanation:


Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?

A. 0
B. 1
C. 2
D. Infinitely many





Answers

The answer is C.2 that is the answer

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

what is the value or |-12.7| and |11.1/4| ?

Answers

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Solve this equation. Please show work.

log(4m-10)=1

Answers

Answer:

m=5

Step-by-step explanation:

1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]

2. Any expression raised to the power of 1 equals itself so ... 4m-10=10

3. Move the constant to the right-hand side and change its sign so ... 4m=10+10

4. Add the numbers so ... 4m=20

5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]

6. Check if the solution is in the defined range so ... m=5

Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left after he spent $25 on dues

Answers

Answer:Pierre has $17 left

Step-by-step explanation:

Amount of money before dues = $42

according to the expression 42-d, d represents dues= $25

Amount left = Amount of money before dues - Amount of dues

                  = $42- $25

                  =$17

Pierre has $17 left after he spent $25 on dues.

20x^2/12x+8 simplified

Answers

20/12 4 52/3 52+/3.+8

Please help, pic attached!

Answers

Answer:

(y − 9) (y − 2)

Step-by-step explanation:

Factor  y^2 − 11y + 18 using the AC method.

(y − 9) (y − 2)

The “AC” method or factoring by grouping is a technique used to factor trinomials. A trinomial is a mathematical expression that consists of three terms.

Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help

Answers

Answer:

3x+9

Step-by-step explanation:

If it’s multiple choice the other one is

x +1+1+1+x +1+1+1+ x +1+1+1

I hope this helps!

4/-2 flipped over the x axis

Answers

Answer:

I suppose that here we have:

"(4, - 2) flipped over the x-axis"

Regardless of that, i will answer this in a kind of general way.

When we have a point (x, y) and we do a reflection over the x-axis (or the line y = 0, is the same) the reflected point will be (x, - y)

If we instead had a reflection over the y-axis (or the line x = 0) the reflected point will be (-x, y)

Then if we have the point (4, -2) and we have a reflection over the x-axis, the sign of the y-component needs to change.

Then the reflected point will be (4, -(-2)) = (4, 2)

Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)

Answers

Answer:

138.16 cm

Step-by-step explanation:

Recall that the formula for calculating the circumference is pi times diameter.

Circumference = 44 x 3.14 cm = 138.16 cm.

Which statements are true? Select all that apply.​

Answers

9514 1404 393

Answer:

  A, B, D  

Step-by-step explanation:

The figure is symmetrical about the horizontal centerline, so triangles, angles, and segments above that line are congruent with corresponding segments below that line. Choices A, B, D are true statements.

__

There is nothing in the figure to indicate that ΔFGK is isosceles, so statement C cannot be considered to be true.

At store A, rulers are sold individually. The cost y of x rulers is represented by the equation y = 0.95x. The costs of rulers at store B are shown in the table. Number of Rulers (x) Cost (y) 5 $4.60 10 $9.20 15 $13.80 20 $18.40 Use the slope of each store to determine which store charges more per ruler. Explain.​

Answers

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler


Solve for x.
And solve for Z

Answers

From Tales theorem:      [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]

Solving for x:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]

Solving for z:

[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]

The area of a 12-cm-wide rectangle is 180cm. what is its length?

Answers

Answer:

15cm

Step-by-step explanation:

180/12=15

PLEASE HELP ME
Solve for X and Z

Answers

9514 1404 393

Answer:

x = 1z = 11

Step-by-step explanation:

If we assume that the segment marked (2x+1) is a midsegment, then it is half the length of the parallel base:

  2(2x+1) = 8x-2

  4x +2 = 8x -2 . . . . eliminate parentheses

  4 = 4x . . . . . . . . . . add 2-4x to both sides

  1 = x . . . . . . . divide by 4

__

The above assumption makes the two segments marked with z-expressions be the same length:

  3z = z +22

  2z = 22 . . . . . .  subtract z

  z = 11 . . . . . . . . . divide by 2

The values of X and Z are 1 and 11, respectively.

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