Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,-2)

Answers

Answer 1

Answer:

y = (2/3)x + 4 2/3

Step-by-step explanation:

For reference, a linear function has an equation of y = mx + b

The first thing we're going to do is use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex] or rise over run. In this case that looks like:

(-2-4) - (8 - -1)

-2 -4 comes out to - 6, and the denominator comes out to 9.

6/9 is equal to 2/3, which is our m or slope value.

Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:

4 = (2/3)-1 +b

4 = -2/3 + b

4 2/3 = b

That means our complete equation is:

y = (2/3)x + 4 2/3

OR

y = (2/3)x + 14/3 (equivalent but an improper fraction rather than a mixed fraction).


Related Questions

need answer please !!!!!

Answers

Answer: -9

Step-by-step explanation:

f(x)=-5x-4

f(1)=-5(1)-4

    =-5-4

f(1) =-9

What is the slope of the line that contains the points (-2, 5) and (6, -3)?

Answers

Answer:

Slope = -1

Step-by-step explanation:

Slope (m) = [tex]\frac{Y_{2}-Y_{1} }{X_{2}-X{1}}[/tex]

m = [tex]\frac{-3-5 }{6-(-2)}[/tex]

m=[tex]\frac{-8}{8}[/tex]

m = -1

helppppppppppppppppppppppppppppppppp

Answers

Answer:

b. (1, 13).

Step-by-step explanation:

Here's a pic of my work. You can put either equation on the other side of the equal sign, because they both equal Y. therefore, they equal each other.

I think the answer is B

Classify the following triangle. Check all that apply. A. Sealene B. Right C. Equilateral D. Isosceles E. Acute ( F. Obtuse​

Answers

Answer:

equilateral triangle

Step-by-step explanation:

coz in pic all side are equal.

hope it helps

Answer:

C. Equilateral

Step-by-step explanation:

This is because the sides are equal. therefore its, C

....in case if you didn't know:

---------------------------------------------------

classification based on the sides only:

Scalene is a type of triangle which has all three sides of different lengths.

Isosceles: only two of the sides are the same.

Equilateral: this when all of the sides are the same lengths.

---------------------------------------------------

classification based on the angles:

right: contains one 90-degree angle

acute: each angle is less than 90 degrees.

obtuse: one angle is larger than 90 degrees.

can someone help me thanks

Answers

Let x be the length of the third side.

Thus:

[tex]\mathsf{25^2=17^2+x^2}\\\\\mathsf{625=289+x^2}\\\\\mathsf{x^2=625-289}\\\\\mathsf{x^2=336}\\\\\mathsf{x=\sqrt{336}}\\\\\boxed{\mathsf{x=4\sqrt{21}}}[/tex]


Points plz plz plz awnser​

Answers

Answer:

[tex]\frac{1}{6\\}[/tex]

Explanation:

Probability = [tex]\frac{Number of outcomes}{Total possible outcomes}[/tex]

In this case Number of outcomes is 1, that is 6

And total number of outcomes = 6 (Because there are six sides of a dice)

So the probability = [tex]\frac{1}{6\\}[/tex]

Hope it helps :)

Answer:

i think the answer will be 2

Assessment started: undefined.
Item 1
Stan scored 548,751 points on a computer game.

What was his score rounded to the nearest thousand?

Answers

Answer:

549,000

Step-by-step explanation:

Danny's gross earnings for the week are $1655.25 His deductions comprise 25% of his total compensation.

What is his net pay?

Enter your answer rounded to the nearest cent, such as: $4253.64.


A. $1655.50
B. $413.81
C. $2069.06
D. $428.85

EXPLAIN HOW YOU GOT THE ANSWER AS WELL!

Answers

Given:

Danny's gross earnings for the week = $1655.25.

His deductions comprise 25% of his total compensation.

To find:

His net pay.

Solution:

We need to find the Danny's net pay, so we have to subtract the deductions from his gross earnings.

So, the net pay is:

[tex]\text{Net pay}=\text{Gross earnings}-25\%\ of\ \text{Gross earnings}[/tex]

[tex]\text{Net pay}=1655.25-\dfrac{25}{100}\times 1655.25[/tex]

[tex]\text{Net pay}=1655.25-413.8125[/tex]

[tex]\text{Net pay}=1241.4375[/tex]

Round the value to the nearest cent (two decimal places).

[tex]\text{Net pay}\approx 1241.44[/tex]

Therefore, the the net pay is $1241.44.

Note: All options are incorrect.

Based on the information given, the net pay will be $1241.44.

From the information given, Danny's gross earnings for the week are $1655.25 and his deductions comprise 25% of his total compensation.

Therefore, his net pay will be:

= $1655.25 - (25% × $1655.25)

= $1241.44

In conclusion, the correct option is $1241.44.

Learn more about division on:

https://brainly.com/question/10528412

A credit card company advertises an APR of 14.7 compounded daily. What is the effective interest rate.Round your answer to two decimal places

Answers

Answer:15.83

Step-by-step explanation:

15.83 cuz I did it

Find the measure of each angle.

Answers

Answer:

D) 215°

Step-by-step explanation: First, straight line angle measures 180°

Plus the angle formed by the perpendicular, 90°

then subtract 55° to obtain your final answer.

hope this is helpful

which two statements best describe the solution of a two variable equation

Answers

I believe you are missing part of the question because I don’t see any answer choices to pick from

How do u do parabola

Answers

Answer:

Step-by-step explanation:

Finding the vertex or the end of the shape.

Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .

Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.

Make sure that you've got at least one point to either side of the vertex. ...

Sketch the graph.

HELP ME PLEASE I ONLY HAVE 30 MINUTES

Answers

Dna made up of the same components

What is true about any point on a coordinate plane with a negative
x-coordinate and a y-coordinate that is not zero?

A. It lies in the top half of the coordinate plane.
B. It lies in Quadrant I or IV.
C. It lies to the right of the y-axis.
D. It lies in Quadrant II or III.

Answers

Answer:

the answer is B

Step-by-step explanation:

i guessed and got it right

Answer: D. It lies in Quadrant II or III

Step-by-step explanation: It asks for any point on a coordinate plane with a NEGATIVE X COORDINATE.

With this we can use this image (Shown below) to help us find out the answer... Quadrants II and III both have a negative X-coordinate

Please select the correct inequality sign.

Answers

Answer:

7.67 > 7.64799

1.5566876 < 1.565687

Find the whole if 2.5% of n is 0.01.

Answers

Answer:

[tex]2.5\% \: of \: n = 0.01 \\ \frac{2.5}{100} \times n = 0.01 \\ 2.5n = 1 \\ n = 0.4[/tex]

Please help I’m in an hour of need

Answers

Answer:

x = 107 degrees

Step-by-step explanation:

A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.

The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.

help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)

Answers

Answer:

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

Step-by-step explanation:

[tex](-6p^{3} )(3p^2+5p-1)[/tex]

[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

hope this helps.....

I neeed the answer plsssssss

Answers

the answer to your question is 180

What type of association does the following scatter plot represent?

Answers

2)Negative linear association because the line is straight and it’s going down meaning it’s negative

On a piece of paper graph y ≥2x

Answers

Answer:

Step-by-step explanation:


Please help with that answer someone please before 12:00an

Answers

Answer:

150 cause subtract 150 from 270 you get 150

Just subtract 270 milliliters (the amount of milk in the beginning) by the amount that’s left in the bottle. (120 milliliters)

Your answer is going to be that the baby drank...

150 milliliters!

Hope this helps! :D

Help me ASAP! Giving the first person BRAINLIEST!

Answers

Answer:

Hello! answer: 12

Step-by-step explanation:

1/4 × 1/3 = 1/12 therefore there our 12 possible outcomes

12 is the answer
hope that helps

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?​

Answers

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=2[/tex]

[tex]-3+a=2\times 2[/tex]

[tex]a=4+3[/tex]

[tex]a=7[/tex]

And,

[tex]\dfrac{3+b}{2}=0[/tex]

[tex]3+b=0[/tex]

[tex]3+b-3=0-3[/tex]

[tex]b=-3[/tex]

Therefore, the coordinates of point B are (7,-3).

During which period did humans first appear on Earth?
Quaternary
Neogene
Paleogene
Cenozoic​

Answers

Answer:

According to Science, Quaternary.

Step-by-step explanation:

I took the quiz.

But really, the Earth is not that old. just a couple thousand years old.

There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.

Hope this helps and have a great day!

:)

Answer:

A. Quaternary

Step-by-step explanation:

find the value of x if y=2.5 on the graph of 2x-1=y

Answers

Answer:

2x - 1 = y

2x - 1 = 2.5

Use inverse operations

2.5 + 1 = 3.5

3.5 / 2 = 1.75

2 x 1.75 - 1 = 2.5

x = 1.75

Find the value of y, in the image below:

Answers

9514 1404 393

Answer:

  125

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. So, y is ...

  y° = 360° -40° -65° -60° -70° = 125°

  y = 125

3 + 11 . (8 - 4) ÷ (5 + 6) - 4

Answers

Answer:

3

Step-by-step explanation:

3 + 11 ⋅ ( 8 − 4 ) ÷ ( 5 + 6 ) − 4

 Subtract  4  from  8 .

3 + 11 ⋅ 4 ÷ ( 5 + 6 ) − 4

Multiply  11  by  4 .

3 + 44 ÷ ( 5 + 6 ) − 4

Find the common denominator.  

Add  5  and  6 .

3 + 44 ÷ 11 − 4

Write  3  as a fraction with denominator  1 .

3/ 1 + 44 ÷ 11 − 4

Multiply  3/ 1  by  11/ 11 .

3/ 1 ⋅ 11 /11 + 44 ÷ 11 − 4

Multiply  3/ 1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 − 4

Write  − 4  as a fraction with denominator  1 .

3 ⋅ 11 /11 + 44 ÷ 11 +  − 4 /1

Multiply  − 4 /1  by  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 + − 4 /1  ⋅ 11 /11

Multiply  

− 4 /1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 +   − 4 ⋅ 11 /11

Combine the numerators over the common denominator.

3 ⋅ 11 + 44 − 4 ⋅ 11 /11

Simplify each term.  

Multiply  3  by  11 .

33 + 44 − 44 ⋅ 11/ 11

Multiply  − 4  by  11 .

33 + 44 − 44 /11

Simplify the expression.  

Add  33  and  44 .

77 − 44/ 11

Subtract  44  from  77 .

33 /11

Divide  33 by  11 .

3

Answer:

3

Step-by-step explanation:

See image below:)

Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years. Suppose also that exactly 20% of the tubes die before 4 years. Find the mean lifetime of TV tubes. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

Answers

The TV equals 20% because 1.1-4 years equals points

You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend passes above you on a straight section heading south. Are these sections of the two tracks???

Answers

No they cross each other like a highway. You are on the underpass and your friend passes over you. As in, they are crossing a bridge & you are below them.

Yes, these sections of the two tracks, because cross each other while moving in perpendicular directions.

Given that,
You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend passes above you on a straight section heading south.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
As given in the question they both move in a different direction that is perpendicular to each other which implies one of them pass over the other by any means such as a subway or bridge.

Thus, Yes, these sections of the two tracks, because cross each other while moving in perpendicular directions.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

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