equation of a line given the points (-6,-4) and (3,8)

Answers

Answer 1

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[tex]y = \frac{4}{3} x + 4 \\ [/tex]

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Let me know if you need explanation.

Answer 2

Answer:

y = 4/3x+4

Step-by-step explanation:

First, we must find the slope. (m=y2-y1/x2-x1)

Once you subsitute the numbers, you'll get 12/9. Reduce that to 4/3

After that, replace y = mx +b with the any of the ordered pairs. I chose 3 and 8.

So. 8=4/3(3)+b (b is the y intercept) 3/4 is our slope, 8 is the y, and 3 is the x.

So, multiply 3/4 by 3. You'll get 4.

Then, subtract 4 on both sides (8-4) which gets you 4.

Therefore, b (y intercept) = 4.

y = mx+b

y=4/3x+4.


Related Questions

Determine the maximum number of zeros of the polynomial function
-9x^2 + 2x + 2.
a. 3
b. 2
c. 1
d. 4

Answers

Answer:

d

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Solve the inequality: -8(8x – 16) < 64(2 – 2).
A) <0
x <
B) 2 <4
С
a <8
D) All real numbers
E
No solution

Answers

Answer:

The answer is D. all real numbers

Step-by-step explanation:

what’s the slope of (5,9) and (8,4)

Answers

Answer: -5/3

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

You substitute the numbers in and subtract to get -5/3.

write an equation for a line through (1,-1) and (2,3)

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

Use the point slope form and add in the ordered pairs [tex]\frac{3 + 1}{2 - 1}[/tex] , and once you solve this it equals [tex]\frac{4}{1}[/tex], or just 4. Now you have the first part of your equation, y = mx + b, but now you have y = 4x + b. To find b, substitute the x and y values of one of the given ordered pairs in for x and y in the equation, and I am using (2,3). The equation now looks like this: 3 = 4(2) + b. Now solve: 3 = 8 + b

Subtract 8 from both sides to get -5 = b. Now you have a full equation: y = 4x -5

Can you divide 38 by 4 evenly? Use the number line to explain your answer. 38 You cannot divide 38 by 4 evenly. Using the number line, you can count back from 38 by 4s times until you reach the number . Then you cannot count back by 4 any more, so the remainder is .

Answers

Answer:

No there will be 2 left.

Step-by-step explanation:

count backwards from 38 by 4's

An office receives a shipment of identical boxes containing office supplies. The shipment contains 6 boxes of pencils, 14 boxes of pens, and 16 boxes of paper. How many additional boxes of paper must be added to the original 36 boxes in order for the probability of randomly selecting a box of paper from this shipment to be exactly 1/2 ?

Answers

Answer:

4

Step-by-step explanation:

Given that:

There are 6 boxes of pencils, 14 boxes of pens and 16 boxes of paper.

Total number of original boxes = 6 + 14 + 16 = 36

To find:

Number of additional boxes of paper to be added so that the probability of getting a paper box while selecting a random box becomes exactly [tex]\frac{1}{2}[/tex].

Solution:

First of all, let us have a look at the formula of probability:

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases will be equal to the number of paper boxes and

Total number of cases will be equal to the total number of boxes available.

Let us first calculate the original probability:

[tex]\frac{16}{36}\neq \frac{1}2[/tex]

If 1 paper box is added, then probability

[tex]\frac{17}{37}\neq \frac{1}2[/tex]

If 2 paper boxes are added, then probability

[tex]\frac{18}{38}\neq \frac{1}2[/tex]

If 3 paper boxes is added, then probability

[tex]\frac{19}{39} \neq \frac{1}2[/tex]

If 4 paper boxes is added, then probability

[tex]\frac{20}{40} = \frac{1}2[/tex]

Therefore, we need to add 4 paper boxes.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

Given that,

The shipment contains 6 boxes of pencils

And 14 boxes of pens, and 16 boxes of paper.

We have to find,

How many additional boxes of paper must be added to the original 36 boxes in order for the probability of randomly selecting a box of paper from this shipment to be exactly 1/2.

According to the question,

Total no. of original boxes = 6 + 14 + 16 = 36

Formula for probability of an event E can be observed as:

[tex]P(E) = \frac{Number \ of \ favourable \ cases}{Total \ number \ of \ cases }[/tex]

Here, number of favorable cases will be equal to the number of paper boxes,

Total number of cases will be equal to the total number of boxes available.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 .

Let us first calculate the original probability:

[tex]\frac{16}{36} \neq \frac{1}{2}[/tex]

The probability of original paper boxes is not  1\2.

If 1 paper box is added, then probability,

[tex]\frac{17}{37} \neq \frac{1}{2}[/tex]

The probability of 1 paper boxes is not 1\2.

If 2 paper box is added, then probability,

[tex]\frac{18}{38} \neq \frac{1}{2}[/tex]

The probability of 2 paper boxes is not 1\2.

If 3 paper boxes are added, then probability,

[tex]\frac{19}{39} \neq \frac{1}{2}[/tex]

The probability of 3 paper boxes is not 1\2.

If 4 paper boxes is added, then probability,

[tex]\frac{20}{40} = \frac{1}{2}[/tex]

The probability of 4 paper boxes is 1\2.

Hence, The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

To know more about Probability click the link given below.

https://brainly.com/question/23044118

Brainliest 5 stars Thanks!

Answers

Answer:

(x - 6)(x - 2)(x + 4)

Step-by-step explanation:

Given function

f(x) = x³ - 4x² - 20x + 48 with one root of x = 6

Finding other factors, considering (x - 6) is the factor

x³ - 4x² - 20x + 48 = x³ - 6x² + 2x² - 12x - 8x + 48 =(x - 6)(x² + 2x - 8) =(x - 6)(x² - 2x + 4x - 8) = (x - 6)(x - 2)(x + 4)

The wholesale price of a jacket is $72. If the jacket is sold in a department store for a retail price of $86.40, what is the percent markup?

Answers

Answer:

20%

Step-by-step explanation:

Subtract the selling price from the wholesale price.

86.40-72.00=14.4

Find the percentage of the difference from the wholesale price.

14.4/72.0=0.2

This means 20%.

cashapp me $AndrewTkacs​

Answers

Answer:

sure when i have money

Step-by-step explanation:

i don't have money lol

help asap do all show work

Answers

y=-x

slope for perp line = 1

2y=-x+6

y=-1/2x +3

slope for perp line = 2

15.

i don’t wanna do all sorry it’s a lot of work so i’ll tell u how to do it instead. first write it in slope intercept form which is

y-y1=m(x-x1)

it’s parallel which means it shares the same slope. if it’s perpendicular it would be opposite reciprocals so for -3/2 the perp slope would be 2/3.

the line is

y+1=3/4(x-4)

we distribute the 3/4 so it’s now

y+1=3/4x-3

then we subtract the 1

y=3/4x-4 is the equation boom done

I got it wrong im stupid at this kind of stuff please help

Answers

Answer:

I think is "Became 3 times as large"

Step-by-step explanation:

1. How many ways are there to arrange four
boys and three girls in a line for a photo if
the girls must be in order of height from
shortest to tallest?

Answers

Answer: it could be boy girl boy girl, or it can go boys first and girls last, or it can be girls first and boys first, so i would say 3 ways

Step-by-step explanation:

hope this helped

rate of change graphs

Answers

The y-values change 6 units every time the x-values change 1 unit, on this interval. Finding average rate of change from a graph. Function g (x) is shown in the graph at the right.

Trapezoid PSTK is isosceles. SK = 20, SH = 12, If ST = 1 4 HK, find HK, APTSK, m∠P, and PS. Find HK, Area of pstk, HK and PS

Answers

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

What is -2 2/3 • -4 3/7

Answers

Answer:

11 17/21

Step-by-step explanation:

Explain how you would graph the line containing a slope of -1/5 that goes through the point (1,-4).

Answers

Answer:

so.

Step-by-step explanation:

alberto knows that all the lines and rays are congruent to each other . he reasons that all segments must therefore be congruent to each other. alberto conclude that AB CD What is his error

Answers

Answer:

Step-by-step explanation:

Alberto is correct in reasoning that all lines and rays are congruent to each other but incorrect in his reasoning about the line segments.

Line segments are equal in measure only when they are equal in length. They can have any orientation on a plane.

Since, AB = 3 units

CD = 4 units

Therefore, AB ≠ CD

Error in AB ≅ CD

A turtle at the zoo weighs 145 pounds. It is two times heavier than the baby turtle. How much does the baby turtle weigh.

Answers

Answer: 72.5 lbs

Step-by-step explanation:

Create the equation:

145=2x -->where x is how much the baby turtle weighs

Solve the equation:

Divide both sides by 2 to get 72.5 lbs

From the figure and statement provided, select the proper TO PROVE statement.



If two angles of a triangle are equal, the sides opposite those angles are equal.

MN = AB
AB + BC = AC
a is parallel to b
m is parallel to l
AB = BC

Answers

Answer:

I think that the answer is AB+BC=AC

Can someone help me graph these. y=-1/2x-7 y=1/6x-3

Answers

Answer:

Graph is in the picture below

Step-by-step explanation:

Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds

Answers

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

Two rectangular prisms are similar. The ratio of the areas of the bases is 121:49. What is the ratio of the volumes of the similar solids?

Answers

Answer:

The ratio of the volumes of the similar solids is 1331:343.

Step-by-step explanation:

Ratios

Given the ratio of two lengths is a:b. Given a two-dimensional shape is similar to another shape, the ratio of their areas is [tex](a/b)^2[/tex], and the ratio of their volumes is [tex](a/b)^3[/tex].

We know the ratio of the areas of the bases of two similar rectangular prisms is 121:49. Thus, the ratio of its dimensions is:

[tex](a/b)^2=(121/49)[/tex]

Taking the square root:

[tex]a/b = \sqrt{121/49}=11/7[/tex]

Thus, the ratio of the volumes is:

[tex](a/b)^3=(11/7)^3=1331/343[/tex]

The ratio of the volumes of the similar solids is 1331:343.

find the slope pleaseeee

Answers

the slope would be -2 :)

Solve algebraically for x and explain each step( using mathematical vocbuary) for the following: 2(x+5)+ 3x = 30

Answers

First do distributive property
2x + 10 + 3x = 30
Now combine like terms
5x + 10 = 30
Subtract 10 from both sides
5x = 20
Divide both sides by 5
x = 4

I WILL GIVE BRAINLIEST!! {y=−x+3y=x+5 What is the solution for this system of equations? Enter your answer in the boxes.

Answers

Answer:

The solution is (5 , 1)

Step-by-step explanation:

Answer:

x−y=12  

Step-by-step explanation:

Answer my math question I asked so many times I lost most of points by

Answers

Answer:

Step-by-step explanation:

Parabolas can be written in the form

[tex]y = a(x-h)^2+k[/tex]

The vertex is (h, k). The vertex in the graph is (5, 0).

so far, we have

[tex]y = a(x-5)^2+0\\y = a(x-5)^2[/tex]

The other points we are given are (6, 1), (7, 4), (8, 9)

[tex]9 = a(8-5)^2\\9 = a(3)^2\\9 = 9a\\a = 1\\\\4 = a(7-5)^2\\4 = a(2)^2\\4 = 4a\\a = 1\\\\1 = a(6-5)^2\\a = 1[/tex]

In vertex form

[tex]y = (x-5)^2\\y = x^2 - 10x + 25[/tex]

calculate the rise and run to find the slope of each line
I need help with question 4,5 & 8
Any help would be appreciated!

Answers

Answer:

4.-7/4 . 5. 5/3 6. -4/1

7. 3/1,  8. -2/1 9. 6/1

Step-by-step explanation:

5+root2 over 4+root8

Answers

hope this helps !! :)

Explain why you write a mixed number as a fraction before using it as a dividend or divisor.

Answers

Answer:

I think it's because it is easier to solve when put into equations.

Step-by-step explanation:

Plz someone help me I’ve been stuck for a bit my dad won’t help me

Answers

Answer:

Not very good at these but prob 1st and last

Step-by-step explanation:

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