Find a Point-Slope equation for a line containing the given point and having the given slope.

(5, -1), m =1/5

Answers

Answer 1

Answer:

The point-slope equation for a line is:

[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]

Step-by-step explanation:

Given

The point = (5, -1)m = 1/5

We know that the point-slope form is

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

where m is the slope of the line

substituting the values m = 1/5 and the point (5, -1)

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

[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]

Thus, the point-slope equation for a line is:

[tex]y-\left(-1\right)=\frac{1}{5}\left(x-5\right)[/tex]


Related Questions

7) Wnte a linear function in
slope intercept form that
passes through the point (2, 3)
and has a slope of 4

Answers

Answer:
Explanation:
3 = 2(4) + b
3 = 8 + b
3-8 = b
-5 = b
y = 4x - 5

Which of the following represents the greatest percent of change?

A. Boots that were originally priced at $90 are on sale for $63
B. A baby that weighed 7 pounds at birth now weighs 10 pounds
C. A bracelet that costs $12 to make is sold for $28
D. A savings account increased from $500 to $600 in one year

Answers

Answer:

c

Step-by-step explanation:

a. 63(new) - 90(old) =  -27 / 90 = 0.4285*100  = 42.9%

b. 10(new) - 7(old) = 3 / 7 = -0.3*100 = -30 = 30%

c. 28(new) - 12(old) = 14 / 12 = 1.166 * 100 = 116.6%

d. 600(new) - 500(old) = 100 / 500 = 0.2 = 20%

The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33% thus option (C) is correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

% change = (change)/original x 100

A): (90 - 63)/90 x 100 = 30%

B): (10 - 7)/10 x 100 = 30%

C); (28 - 12)/12 x 100 = 133.33%

D):(600 - 500)/500 x 100 = 20%

Hence "The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33%".

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I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!

Answers

Answer:

6 movies = 1st plan

7 movies = 1st plan

8 movies = Either is fine. (They're the same price)

9 movies = 2nd plan

10 movies = 2nd plan

Step-by-step explanation:

6 movies (1st plan) = 20 + 5 × 6

                               = 50 (less than 60 so it is cheaper)

7 movies (1st plan) = 20 + 5 × 7

                               = 55 (less than 60 so it is cheaper)

8 movies (1st plan) = 20 + 5 × 8

                               = 60 (same as 2nd plan so either is fine)

9 movies (1st plan) = 20 + 5 × 9

                               = 65 (more than 60 so 2nd plan is better)

10 movies (1st plan) = 20 + 5 × 10

                               = 70 (more than 60 so 2nd plan is better)

Answers :
A:25
B:9
C:5
D:4

Answers

Answer:

B:9

Step-by-step explanation:

It’s b I just took that

PLEASE HELP STAT WILL MARK BRAINLIEST!

Mr. Lee has 67 rubber stamps. He wants to give the same number of stamps to each of his 8 students. If he gives away as many stamps as he can, how many stamps will be leftover? [remainder]

Answers

Answer:

3

Step-by-step explanation:

To give the same amount of stamps to each student you would divide 67 by 8. Dividing would give each students 8 stamps because you can only equally divide it to 64 (EX, 64/8=8). This leaves you with 3 stamps leftover, because we only used 64 equally and 67-64=3.

Answer:

He can give each of his students 8 stamps.

With 3 stamps left over.

Step-by-step explanation:

Hope this helps!

Can someone please help mee fast!!​

Answers

Step-by-step explanation:

insta I'd :- itz_anurag_r

anyone msg me on insta plzzz I'm bored at home ❤️

The value of n is a distance of 3 units from 1 1/2 on a number line.
Click on the number line to show the possible values of n.

Answers

Answer:

1 1/2

Step-by-step explanation:

Since n is 3 units from 1 1/2 you would subtract 3 - 1 1/2 to find how much more n is from 1 1/2 to get to 3. Hope this helps! :)

Answer:

1 and 3 would be correct

Step-by-step explanation:

hhhfgdfhgfhtdfhsfhdgjdjdghfhdfjgfh

Answers

Answer:

yeah❤

Peter Piper picked a pack of pickled pepper. If Peter Piper picked a pack of pickled peppers, how many packs of pickled peppers did Peter Piper pick?

Please help me

Solve the inequality.
12 - }>8-23

Answers

Answer:

Letter D

Step-by-step explanation:

D KO PO SURE SORRY PO KUNG MALI ✌

I think it’s D I’m not sure though

A train travels 40 miles in 65
minutes. To the nearest tenth of a
mile, how far does the train trave
per minute?

Answers

Answer:

40/65 OR 8/13

Step-by-step explanation:

What is the equation of the line through (2, -4) and (0, 4)?
OA. y= 4x- 4
O B. y= -4x- 4
Oc. y= -4x+ 4
OD.y= 4x+ 4

Answers

Answer: C

m = slope

m = (y2 - y1) / (x2 - x1)

2 points:
(2, -4) x1 = 2 and y1 = -4
(0, 4) x2 = 0 and y2 = 4

m = (4 - (-4)) / (0- 2)

m = 8 / -2

m = -4

Equation of the line is : y = mx + b

So we got...

y = -4x + b

Then we can use any of the two points given to solve for b. I’m going to use (0, 4).

y = -4x + b

4 = -4(0) + b

4 = 0 + b

4 = b

Therefore the equation of the line is
y = -4x + 4

Write the slope intercept form equation of the line when m =-1 and b =-2 (write your answer with no spaces and any fraction with “/“)

Answers

Answer:

y = -x - 2

Step-by-step explanation:

y = mx + b

I WILL GIVE 30 POINTS TOO WHOM FIRST ANSWERS THIS QUESTION RIGHT!!!! AND IF I HAVE OTHER QUESTIONS AND THEIR ANSWERED I WILL COUNT BRAINLIEST!!!!!!!

Solve the inequality below.
-x + 5 < 7
Which of the following values of x DO NOT make the inequality true?
A. -1
B.- 3
C. 7
D. 5

Answers

Answer:

B: -3

Step-by-step explanation:

-(-3) + 5 < 7

3 + 5 <7

8 < 7 FALSE

Answer:

-3

Step-by-step explanation:

Solve for x in the inequality, to get x > -2 (see the image below if you want to know how to solve it). Then, we can substitute the numbers for x to see which ones DO NOT make the inequality true:

-1 > -2  This is true, because -1 is greater than -2

-3 > -2  This is false, because -3 is not greater than -2

7 > -2  This is true, because 7 is greater than -2

5 > -2  This is true, because 5 is greater than -2

So you can see that -3 is the number that DOES NOT make the inequality true. So therefore:

Answer: -3

Hope this helps! :)

Simplify 5(2 - 7n) =

Answers

Answer:

10-35n=?

Step-by-step explanation:

This would be in simplest form

Answer:

10 - 35n

Step-by-step explanation:

Step 1:

5 ( 2 - 7n )         Equation

Step 2:

( 5 × 2 ) - ( 5 × 7n )      Multiply

Answer:

10 - 35n

Hope This Helps :)

You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour. ​

Answers

Answer:

10.80

Step-by-step explanation:

12% of $9 dollars is $1.08 rounded is 1.080

btw if this was a real job id quit even though im in 6th

The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.

You decide to take a second job that pays $9 dollars an hour.

Taxes are 12% of your earnings, and you are able to save the rest.

Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.

From the data given, we can frame a linear equation in one variable.

987 = 9x - 12% of 9x

987 = 9x - (0.12)(9)x

987 = 9x - 1.08x

7.92x = 987

x = 987/7.92

x = 124.62 ≈ 125 hours

Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

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what is the solution of the following? *
-4 = 16
Infinite solutions
no solution

Answers

Answer: no solution

Hope this helps and good luck :)

Step-by-step explanation:

The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).

Answers

Answer: (-2, 2) and (4, 8)

There are two solutions because the two functions cross each other twice.

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = [tex]\sqrt{4ax}[/tex]

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What is the value of the function at x = 22 Enter your answer in the box .please help.​

Answers

Answer:

its gonna be whatever the y value is when x is 22

Step-by-step explanation:

Choose the one alternative that best completes the statement or answers the question

Answers

Answer:

B) 60

Step-by-step explanation:

5*2*3*2=60 types by multiplying all the categories together.

You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?

Answers

Answer:

400 ; 720

Step-by-step explanation:

Given that :

My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.

Let number of shot = x

Also my score x is 320 less than my friend's score

Hence after x shots

My score = friend's score - 320

5x = 9x - 320

5x - 9x = - 320

-4x = - 320

x = 80

Hence ;

My score = 5x = 5* 80 = 400

My &friend's score = 9 * 80 = 720

the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years

Answers

Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz

I know the best answer ever (*says sarcastically*)

Y=-1/4x +9 what is the slope and y - intercept

Answers

Well your slope is -1/4 and your y-intercept is 9

Answer:

The slope is -1/4 and the y intercept is at (0, 9)

Step-by-step explanation:

In the equation y = mx + b, m is the slope and b is the y intercept.

Since -1/4 is the coefficient to x in the equation, the slope is -1/4.

Since there is a +9 at the end of the equation, the y intercept is (0, 9).

So, the slope is -1/4 and the y intercept is at (0, 9)

The distance between(-12,-9) and (12,-9)

Answers

Answer:

24 units

Step-by-step explanation:

12 to 0

12 to 12

Answer:

30

brainliest??

Step-by-step explanation:

HELP!
Mylo started making this graph to relate the number of hours he works with the amount of money he is paid.

A point representing which information could be added to the graph to show a proportional relationship?

A. $16 for working 2 hours
B. $36 for working 4 hours
C. $40 for working 5 hours
D. $58 for working 6 hours

Answers

Answer:

the answer is B. $36 for working 4 hours

Step-by-step explanation:

took the test.

Answer:

B

Step-by-step explanation:

the first person was right i also got it on the test

help child.......help me

Answers

my answer:

-2.9d+4.8h-16

Explanation:

Estimate 86 x 904 please its homework

Answers

80.000 or do 90x900=81000

what is the BEST ANSWER for the slope of the line that contains the following points:


(14, 5) and (54, 12)

Answers

Answer:

7/40

Step-by-step explanation:

12-5=7

54-14=40

7/40

Help please!!!! 8. 9. And 10.

Answers

Answer:

9 is 3rd -- 8 is last -- 10 is first --

Step-by-step explanation:

***If this answer Helped you out please press the heart Icon, also It would be nice if you made me brainliest. Enjoy Your Day!***

9. A certain color paint should have a mix of blue and green in a ratio of 5:2.
needs to use 8 gallons of green paint, how many gallons of blue paint sho
order to obtain the right color?

Answers

Answer:

20 gallons of blue paint

Step-by-step explanation:

The ratio is blue to green right?

5:2

You already know the green

8

divide 8 by its part of the ratio.

8/2

4

Times 5 by 4

20

20 blue paints and 8 green paints.

Evaluate the given expression for x=-14. -3x-5

Answers

Answer:

The answer is: 37

Step-by-step explanation:

The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.

-3x-5=-3(-14)=5

Next, we multiply -3 and -14 and we get:

42, there reason its not a negative because two negatives equal to a positive.

There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;

37

I hope my answer helps!!

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