What is the equation in point-slope form of the line passing through (−2, 1) and (4, 13)

Answers

Answer 1

Answer:

y = 2x + 5

Step-by-step explanation:

We have two points,

(-2,1) and

(4,13)

from which we can find the slope, m, where

m = (13-1)/(4--2) = 12/6 = 2

take any of the two points to form the point-slope form

y-y1 = m(x-x1)

y-13 = 2 (x-4)

y = 2x - 8 + 13 =2x+5

Check:

when x = -2, y = 2(-2)+5 = 1 checks.


Related Questions

the function f(x) and g(x) are graphed of the set of aces below. for which value of x is f(x)≠g(x)

Answers

Answer:

[tex]f(x)\neq g(x)[/tex]

[tex]when ~x=3[/tex]

[tex]So, the ~third~ option~is ~your~ answer[/tex]

-----------------------hope it helps...have a great day!!

A football team won 16 games last year.
This
year the team won 20 games. What
is the
percent increase in the number of
games the team won from last year to this
year?

Answers

Answer:

they increased by 25%

Step-by-step explanation:

16/4 = 4. 16+4 = 20. Because of this, the number of wins increased by 4, or 1/4 of last year's wins. this means it increased by 25%.

How do I solve this

Answers

I hope this helps you if not tell me what I can help with

There are 12 paintings at an
art show. Three of them are chosen randomly to
display in the gallery window. The order in which they are chosen does not
matter. How many ways are there to choose the paintings?

Answers

Answer:

220?

Step-by-step explanation:

2023? If sorry hope this helps

Which of the following equations has 4 as a possible value of z?

Answers

I think A is the answer

Answer:

a

Step-by-step explanation:

4 to the power of 4 is just 4x4 which equals 16

What is the volume of a cylinder with a height of 16.9 in and a base with a diameter of 9.6 in, to the nearest tenth of a cubic inch?

Answers

Answer: 1223.3in^3

the answer is straight from delta math, and rounded to the nearest tenth.

The sum of two polynomials is –yz2 - 322 – 4y + 4. If one of the polynomials is y - 4yz2 - 3, what is the other polynomial? 0 -2yz? – 4y + 7 01-2yz? – 3y + 1 0 -5yz2 + 3z2 – 3y + 1 03yz2 - 3z2 – 5y +7 Done Intro ok
.

Answers

Answer:

3yz² - 3z² - 5y + 7

Step-by-step explanation:

Sum of two polynomials = –yz² - 3z² – 4y + 4

One of the polynomial = y - 4yz²- 3

Find the other polynomial

The other polynomial = sum of the polynomials - one of the polynomial

= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)

= –yz² - 3z² – 4y + 4 - y + 4yz² + 3

= -yz² + 4yz² - 3z² - 4y - y + 4 + 3

= 3yz² - 3z² - 5y + 7

A. 0 -2yz?

B. – 4y + 7 01 - 2yz

C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7

If x = -5 and y = 2x^2,
then y = ? *

Answers

Answer:

x = -5

y = 2×^2

y = 2 x (-5 x -5)

= 2 x 25

y = 50

what is 10 percent as a decimal

Answers

Answer:

0.10

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

10%

10/100 = 1/10 = 0.1

how do i find the area for number 4?

Answers

Answer:  41 cm^2

Explanation:

Form a horizontal line as shown below (see attached image). This forms 2 separate smaller rectangles

The bottom rectangle has area of 4*8 = 32 cm^2The top rectangle has area of 3*3 = 9 cm^2

The total area is therefore 32+9 = 41 cm^2

You can say "square cm" or "sq cm" in place of the "cm^2".

You can solve this in two different ways. In both ways, however, use the formula for the area of a square/rectangle. The formula is:

Area = Length x Width

A = L x W

To solve, divide the shape given into two rectangles. Then, find the areas of the two different rectangles and add them

Find the length of side a.
5
4
a

Answers

use the pythagorean theorem

5^2 - 4^2 = a^2
25 - 16 = a^2
a^2 = 9
a = 3

what is psychology?

Answers

Answer:

the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.

Answer:

the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.

Step-by-step explanation:

match each quadratic function given in factored from with its equivalent standard from listed on the left.

Answers

You forgot to list them

At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
8
12
5
Cold
What is the probability that a customer ordered
a cold drink given that he or she ordered a large?
Rounded to the nearest percent, [? ]%

Answers

22.7

There are 22 large cups in total
And 5 cold large cups in total
There is a 5 in 22 chance it will be cold
5/22 put into decimal form is 22.7273%
Rounded to the nearest % is 22.7

The probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.

Let us find the individual probabilities.

P(Large | Cold) = 5/25 = 0.2 (out of 25 cold drinks, 5 were large)

P(Cold) = (8+12+5)/100 = 0.25 (out of 100 orders, 25 were cold)

P(Large) = (22+5)/100 = 0.27 (out of 100 orders, 27 were large)

Now we can plug these values into Bayes' theorem:

P(Cold | Large) = 0.2 × 0.25 / 0.27

P(Cold | Large) = 0.1852

Therefore, the probability of a customer ordering a cold drink given that they ordered a large is 0.1852 or about 18.52%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ7

The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle

Answers

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

pls help due in like 2 hours lol

Answers

Answer:

Step-by-step explanation:

95+16x-4=-1+39x

91+16x=-1+39x

91+1=39x-16x

92=23x

92/23=x

4=x

Pleaseeeeee graph the following

Answers

Answer:

Hope it helps...have a great day/night

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path? h = k = a =

Answers

Answer:

What is the slope of the line that represents the turtle's path?

=0.8

 

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?

h=0

k=20

a= -0.12

Which system of equations could you use to determine where the paths intersect?

=B) y = 0.8x and y = -0.12x2 + 20

Step-by-step explanation:

your welcome <3

Based on the graph, the values of the constants in the vertex form of the quadratic equation are:

h = 0.k = 20.a = -0.12.

How to write a function.

Generally, the vertex form of a quadratic equation can be used to model or write an equation of the function of a graph.

Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.

Note: The sign on "a" indicates whether the quadratic equation opens up or opens down.

Based on the complete information, we can deduce that the values of the constants in the vertex form of the quadratic equation are:

h = 0.k = 20.a = -0.12.

Read more on vertex here: brainly.com/question/525947

Help me please. I did the rest I just need f thank you

Answers

Answer:

None of these

Step-by-step explanation:

Corresponding, alternate interior, and same side interior angles only occur in a set of parallel lines. In figure f, none of the lines are parallel. Straight angles are defined as angles that make up one side of the line, or 180 degrees, and as the picture clearly shows, this is not the case.

Answer:

a.straight

b.corresponding

c.alternate interior

d.none of these

e.none of these

f.none of these

g.none of these

h.none of these

i.same side interior

The sum of two numbers is 33 and thier difference is 2 find the number

Answers

Answer:

17.5 + 15.5

Step-by-step explanation:

17+ 15 = 32

.5 + .5 = 1

32 + 1 = 33

Answer:

15.5 and 17.5

Step-by-step explanation:

Let x and y be the two numbers

x+y = 33

x-y = 2

Add the two equations together

x+y = 33

x-y = 2

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

2x = 35

Divide by 2

2x/2 = 35/2

x = 17.5

Substitute into

x+y = 33

17.5 +y = 33

y = 33-17.5

y = 15.5

Which of the following phases translate to the expression y+7

Answers

Answer:

what are the phrases to choose from?

Step-by-step explanation:

what is -100x and what is x

Answers

Answer:

-100x=-100

x=1

Step-by-step explanation:

(simplifying the equation)

-100x-100=0

-100x=-100 they subtracted -100 from both sides

x=1  then divided by -100

:) ur welcome

Answer:

Step-by-step explanation:

-100x=-1

1/4 + 3/4 =
Plz help

Answers

Answer:

its 1  

Step-by-step explanation: i used a cacular for  this

SOMEONE PLEASE HELP ITS DUE TONIGHT

EXPLANATION = BRAINLIEST

Answers

Given:

Radius of the circle = 4 meters

Measure of arc = 135 degrees

To find:

The area of the sector bounded by the given arc.

Solution:

Formula for area of a sector is:

[tex]A=\pi r^2\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta[/tex] is the central angle or measure of intercepted arc.

Putting [tex]r=4,\ \theta =135^\circ[/tex] in the above formula, we get

[tex]A=\pi \times (4)^2\times \dfrac{135^\circ}{360^\circ}[/tex]

[tex]A=\pi \times 16\times \dfrac{3}{8}[/tex]

[tex]A=\pi \times 2\times 3[/tex]

[tex]A=6\pi [/tex]

Therefore, the exact area of the given sector is [tex]6\pi [/tex] square meters.

Answer:

the answer is just 6π

Step-by-step explanation:

Can someone help me out ASAP
I WILL GIVE OUT BRAINLY

Answers

Answer: area= 16.8 yds^2

perimeter=18.8 yds

Step-by-step explanation:

Answer:

Perimeter = 20.2876 yds and Area = 16.8 yds^2

Step-by-step explanation:

Hope this helps :).

can you help me figure to how to get the answer to this question

Answers

Answer:

Step-by-step explanation:

scale factor=3/2

(8,6)

(12,6)

(12,10)

use formula

(x,y)=(kx,ky)  (k means scale factor)

(8,6)=(3/2*8 , 3/*6)

=(24/2 , 18/2)

=(12 , 9)

(12,6)=(3/2*12 , 3/2*6)

=(36/2 , 18/2)

=(18 , 9)

(12,10)=(3/2*12 , 3/2*10)

=(36/2 , 30/2)

=(18 , 15)

Answer:

18 ,15

Step-by-step explanation:

jwihehf

kkeje

kkejjehgo

ekke

Anthony owns a small business selling ice-cream. He knows that in the last week 7
customers paid cash, 40 customers used a debit card, and 32 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with a
debit card or a credit card as a percent to the nearest whole number.

Answers

Answer:

91

Step-by-step explanation:

91

Construct the 95% confidence interval estimate of the mean VAS score for patients given the magnet treatment. Find the Standard error and critical value. construct the 95% confidence interval estimate of the mean VAS score for patients given the sham treatment. You may do the shortcut.

Answers

Answer:

(3.442 ; 6.558)

Step-by-step explanation:

Given :

Mean score after patient is given the magnet treatment :

Mean score, xbar = 5

Standard deviation, s = 2.4

Sample size, n = 20

The confidence interval :

Mean ± margin of error

Margin of Error = Tcritical * standard error

The critical value at 95%, df = 20 - 1 = 19

Tcritical = 2.093 (T-student distribution)

The standard error = s/√n = 2.4 / √20 = 0.5367

The margin of error = 2.903 * 0.5367 = 1.558

The confidence interval :

Xbar ± Margin of error

5 ± 1.558

(3.442 ; 6.558)

The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?

Answers

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

[tex]a+b+c=103[/tex]

The second number is five less than the first. So:

[tex]b=a-5[/tex]

And the third number is four times the first. So:

[tex]c=4a[/tex]

Substitute:

[tex]a+(a-5)+(4a)=103[/tex]

Solve for a. Combine like terms:

[tex]6a-5=103[/tex]

Add five to both sides:

[tex]6a=108[/tex]

And divide both sides by six. Therefore:

[tex]a=18[/tex]

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

which function is graphed below?​

Answers

Answer:

f(x) = sin(x)

Step-by-step explanation:

sin(x) = 0 for x = n×pi, n>=0

sin(x) = 1 for pi/2 and so on

so, clearly that graph is a pure sine wave.

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