(-5,-7) and (3,1)

write equation in point slope form, intercept form, and standard form

Answers

Answer 1

Answer:

Please check the explanation

Step-by-step explanation:

Given the points

(-5,-7) (3,1)

Determining the slope between the points:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:-7\right),\:\left(x_2,\:y_2\right)=\left(3,\:1\right)[/tex]

[tex]m=\frac{1-\left(-7\right)}{3-\left(-5\right)}[/tex]

[tex]m=1[/tex]

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Putting the point [tex](-5,-7)[/tex] and the slope [tex]m = 1[/tex] in the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-7\right)=1\left(x-\left(-5\right)\right)\\[/tex]

Hence, the equation in the point-slope form will be:

[tex]y-\left(-7\right)=1\left(x-\left(-5\right)\right)[/tex]

Writing the equation in slope-intercept form

As the point-slope of the equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Putting m = 1 and (3, 1) to determine the y-intercept

[tex]y = mx+b[/tex]

[tex]1 = 1 (3) + b[/tex]

[tex]1 = 3 + b[/tex]

[tex]b = -2[/tex]

so putting [tex]b=-2[/tex] and m = 1 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y = (1)x + (-2)[/tex]

Therefore, the equation in slope-intercept form is:

[tex]y = x -2[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

[tex]y = (1)x + (-2)[/tex]

so just simplify the equation to write in standard form

[tex]y = (1)x + (-2)[/tex]

[tex]y = x - 2[/tex]

[tex]y - x = -2[/tex]


Related Questions

Evaluate 2a – 3y + 5 when a = -1 and y = -4

Answers

Answer:

15

Step-by-step explanation:

Plug in the numbers for x and y.

2(-1)-3(-4)+5  Multiply first.

-2+12+5         Add.

10+5

15

Hope this helps! Have a great day :D

Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and x packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
4
3
1
2

Answers

He can buy 2 packages of mushrooms

Answer:

2 bags of mushrooms

Step-by-step explanation:

A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January. Which equation best models the situation?

Answers

Answer:

i need this asap

Step-by-step explanation:

The equation that models the situation; [tex]y = 148.4 \sqrt {x-1} +154[/tex] Thus, option B is correct.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A company manufactures acoustic guitars.

The table shows the number of units that the company sold each month over a nine-month period beginning in January, that is;

Month, x 1 2 3 4 5 6 7 8 9

Units, y 150 300 380 425 425 480 520 550 575

If we put x = 2

[tex]y = 148.4 \sqrt {2-1} +154\\\\y = 148.4 +154 = 302.4[/tex]

Y = 300 ( approx)

We can see that the equation that models the situation;

[tex]y = 148.4 \sqrt {x-1} +154[/tex]

Thus, option B is correct.

Learn more about equations here;

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pls answer I give brainliest

Answers

Answer:

0.036

Step-by-step explanation:

0.9 x 0.04 = 0.036

Answer:

0.04

Step-by-step explanation:

you just divide to get the answer :)

A semicircular pit has a diameter of 90 feet. Find the area of the pit to the nearest tenth of a foot.

Answers

Answer:

3181 ft²

Step-by-step explanation:

area of the pit = {πD²/4}/2

where dia. = 90 feet

plugin values into the formula:

area of the pit = {π (90)²/4)/2

                        = 3181 ft²

Sydney earns a yearly salary of 32,000. Sydney’s salary is equal to 40% of her boss yearly salary. What is the yearly salary of Sydney’s boss in dollars?

Answers

Answer:

$80,000

Step-by-step explanation:

40%___$32,000

100%___X=$80,000

(100*32,000)/40 = 80,000

Answer:

i have no clue

Step-by-step explanation:

(4,12) (8,18) whats the slope? :)

Answers

Answer:

4,6

Step-by-step explanation:

The slope is going to be -3/2 I think (don’t bash me if I’m wrong)

I need to know which ones are nonlinear or nonproportion

Answers

Nonlinear means that -- the graph isn't exactly the line. It's basically a "curve" like parabola.

Non-proportional means that --- the graph doesn't start from the origin point or doesn't start at (0,0).

( A ) is both linear and proportion.

( B ) is proportion BUT NOT LINEAR (It's curved.)

( C ) is linear and proportion.

( D ) Is linear BUT NOT PROPORTION (Doesn't start at (0,0) )

So ( B ) and ( D )

The copy machine takes 3 hours to make 24 copies of an information packet. How long would it take to make 96 copies?

Answers

it would take 12 hours

fi you put 200 feet shorter than the height of the lighthouse what would it be ?

Answers

Answer:

Step-by-step explanation:

it would be like 300 feet more

My sister needs help

Answers

the answer to your question is the first one! it's a positive! good luck, wishing you the best on your assignment xoxo!

2+2 if you help me i will put you as brainliest

Answers

Answer:

4 the answer is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Two sides of an isosceles triangle measures 10 and 10. What is true about the third side?

a. -10
d. < 20

Answers

Answer:

Step-by-step explanation:

Sum of length of any two sides of a triangle is greater than length of third side.

(d). < 20

The measure of the third side of the triangle is < 20, the correct option is D.

What is an Isosceles Triangle?

An Isosceles triangle is a triangle whose two sides are equal in length, and so two angles are also equal in measure.

The isosceles triangle has equal side of 10.

According to the theorem,

The length of the third side is always less than the sum of the two sides of a triangle.

Let the third side be x

Then,

x < 10+10

x < 20

To know more about Isosceles Triangle

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HELP ASAP!!!!!!!!!!!! PLS PLS PLS

Answers

Answer:

A.10

Step-by-step explanation:

add all of them =48

48/5= 9.6

A. :10!!!! add them all

It snows 40% less this year it did last year. If it snowed 45 inches last year, how much did it snow this year?

Answers

27 inches: just do .60 * 45 to get 60% of 45 :)

Answer:

27 inches

Step-by-step explanation:

HELPpPP ThANk YoUUU.

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is D I think

Step-by-step explanation:

21. A nail salon had 83 customers, 48 received a pedicure and 57 received a manicure. How many customers got both a manicure and pedicure?​

Answers

Answer:

gu h-onarach tha mi a ’miannachadh gum b’ urrainn dhomh do chuideachadh, ach tha feum agam air puingean airson mo cheistean fhìn duilich!

Step-by-step explanation:

22 customers got both a manicure and pedicure

What type of number is -3
Is it rational a whole number or integer

Answers

Answer:

it would be counted as an integer

Answer: rational

Step-by-step explanation:

I need help plzzzz!!!!

Answers

Answer:

15 degrees

Step-by-step explanation:

Answer:

15 degrees through the opposite exterior angle theorem

Step-by-step explanation:

In Mrs. Anderson's class, Joseline can type 60 words per minute. At this rate, how many words can Joseline type in 5 minutes?



HELP ASAP

Answers

Answer:

300 words.

Step-by-step explanation:

It says that she can type at 60 words per minute, if she kept that wpm constant for 5 minutes straight, then she would be at least 300 in 5 minutes.

She can type 300 words in 5 minutes . 60 times 5 is 300.

I will give brainiest to whoever answers the best

Answers

Answer:

A

Step-by-step explanation:

A should be your answer :))))

Can someone help pls

Answers

1. [tex] \frac{6}{12} = \frac{1}{2} [/tex]

2. [tex]\frac{24}{30} = \frac{4}{5} [/tex]

3. [tex] \frac{9}{36} = \frac{1}{4} [/tex]

4. [tex] \frac{15}{24} = \frac{5}{8} [/tex]

5. [tex] \frac{9}{18} = \frac{1}{2} [/tex]

6. [tex] \frac{12}{9} = \frac{4}{3} [/tex]

7. [tex] \frac{5}{10} = \frac{1}{2} [/tex]

8. [tex] \frac{24}{32} = \frac{3}{4} [/tex]

9. [tex] \frac{10}{35} = \frac{2}{7} [/tex]

10. [tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex]

11. [tex] \frac{8}{32} = \frac{1}{4} [/tex]

12. [tex] \frac{18}{14} = \frac{9}{7} [/tex]

13. [tex] \frac{2}{6} = \frac{1}{3} [/tex]

14. [tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex]

15. [tex] \frac{24}{9} = \frac{8}{3} [/tex]

16. [tex] \frac{7}{28} = \frac{1}{4} [/tex]

17. [tex] \frac{6}{21} = \frac{2}{7} [/tex]

Which of the following is the best definition of a census? a form of taxation based on property a count of a population and its property a system of feudal government a blending of different cultures

Answers

Answer:

b

Step-by-step explanation:

right on edg

Answer:

b

Step-by-step explanation:

edge 2020

Please Help 28 Points + Brainlest Look At The Image Below And Answer The Flowing Question

Answers

Answer:

D

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

I WILL MARK BRAINIEST
please answer question 9 it shows the one I got wrong so don’t choose that one

Answers

Answer:

C) the triangles are congruent

Step-by-step explanation:

Answer:

c. the triangles are congruent

Step-by-step explanation:

Both the triangles are right triangles which means the square thing at the bottom corner of the triangles are 90 degrees. So with this info, a triangle is 180 degrees, and one of the triangles already gave u one of the corners degrees so

90 + 59 + x =180

149 + x = 180

x = 31, so now the left triangle is solved. Now see the 118 degrees in the middle? A straight line is 180 degrees so with this in mind,

31 + 118 + x = 180

149 + x = 180

x = 31

The right triangle also has 31 and 90 as two of its angles, we don't need to calculate to know the last angle left is 59 like the left triangle. Therefore both triangles are congruent as they are the same.

Evaluate
1.3 + 12 + 2.1 =​

Answers

Answer:

The answer is 15.4

Step-by-step explanation:

hope this helps

1.3 + 12 =13.3+2.1=15.4

5TH GRADE MATH Find the percent of increase:

Answers

Answer:

2.4

Step-by-step explanation:

The number of members in JJ Select in 1980 was approximately 2 × 102 people. By 2005, the number of members had risen to 6 × 105 people. Which of the following is true?

Answers

Answer:

88

Step-by-step explanation:because you just do that math

Pleaseeee helppp????

Answers

Answer:

1-2

Step-by-step explanation:

(1,2) maybe not to sure

Mario and his crew are headed to the beach. They start with 1500 coins and plan to spend 60 coins on one umbrella for the trip and 180 per day on various other items. If they have at most 1080 coins remaining, how many days have they been on vacation?

Answers

Answer:

they have been on vacation for 2 days i think

Step-by-step explanation:

1500-60=1440

1440-1080= 360

360÷180=2

hope this helps

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