What is the equation of the line that passes through the point (5,-1) and has a
slope
of 1/5

Answers

Answer 1

Answer:

y=1/5x-2

Step-by-step explanation:

You want to find the equation for a line that passes through the point (5,-1) and has a slope of 1/5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/5. So you can right away fill in the equation for a line somewhat to read:

y=1/5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(5,-1). When x of the line is 5, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (5,-1).

So, why not plug in for x the number 5 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(5,-1). y=mx+b or -1=1/5 × 5+b, or solving for b: b=-1-(1/5)(5). b=-2.

The equation of the line that passes through the point (5,-1) with a slope of 1/5

is

y=1/5x-2


Related Questions

whoever gets this correct first gets brainlest !!

Answers

Answer:

41.8

Step-by-step explanation:

The rectangles are similar by a factor of 10, so simply divide the measure by 10 to get the length of the smaller one.

Which of the following inequalities matches the graph? 100 point

Answers

Answer:

[tex] \huge \boxed{ \boxed{\tt y < - 2x + 7 }}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:linear inequalitytips and formulas:linear equation:y=mx+b[tex]m = \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}}[/tex]let's solve:

let's figure out the slope

two points (2,3),(0,7)

[tex]m = \frac{ 3 - 7 }{ 2 - 0}[/tex]

[tex]m = \frac{ - 4}{2} [/tex]

[tex]m = - 2[/tex]

y-intercept:7

therefore

our linear inequality is

[tex] \tt y < - 2x + 7[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

Which of the following inequalities matches the graph?

[tex]\underline{\sf{\red{Fomula \:for\:linear\:equation:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{y = \: mx + b }[/tex]

We have two points which is (2,3)(0,7) and we need to find the slope first.

[tex]\underline{\sf{\red{Fomula \: for \: slope:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{m = \frac{ \small{y} \tiny{2 } - \small{y} \tiny{1}}{\small{x} \tiny{2 } - \small{x} \tiny{1}} }[/tex]

Let's Substitute it.

[tex]\quad\quad\quad\quad\sf{m = \frac{3 - 7}{2 - 0} }[/tex]

[tex]\quad\quad\quad\quad\sf{m = \frac{ - 4}{2} }[/tex]

[tex]\quad\quad\quad\quad\sf{ \boxed{ \sf{m = - 2} }}[/tex]

[tex]\underline{\sf{\red{Solution \: for \: y \: intercept:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{y = \: mx + b }[/tex]

[tex]\quad\quad\quad\quad\sf{y = \: (- 2) + ( - 5) }[/tex]

[tex]\quad\quad\quad\quad \boxed{\sf{y = 7 }}[/tex]

[tex]\underline{\sf{\red{Answer \: for \: inequality:}}}[/tex]

[tex] \huge\quad\quad \underline{\boxed{\sf{ \red{y < - 2x + 7 }}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

✍︎ C.Rose❀

I need help with this I’ll give 20 extra points if answers correctly

Answers

Answer:

I think its C ( the 3rd one because thats what photo math said

Step-by-step explanation:

Brainliest plus those 20 points you said you would give?

A tile measures 10cm by 10cm. How many such tiles are required to cover a wall of size 4m and 2.5m?

Pls do NOT spam

Answers

Answer:

Step-by-step explanation:

[4m(2.5m)(100^2cm^2/m^2)]/10^2cm^2=1000 tiles

Answer: 1000

Step-by-step explanation:

10xm×10cm=100cm

400cm×250cm=100000cm

100000cm²÷100cm²=1000

Which Decimal is equivalent to 47/250

Answers

Answer:

0.188?

Step-by-step explanation:

Can someone PLEASE help me with these and I will mark brainliest!

Answers

Answer:

1) = 32.02

2) = 18

Step-by-step explanation:

1) 20^2 + 25^2 = 1025

sq rt 1025 = 32.02

2) 30^2 - 24^2 = 324

sq rt 324 = 18

Find the slope of the line.
3x-10y=20​

Answers

Answer:

slope is -3/10

Step-by-step explanation:

-10y=-3x+20

y= -3/10x+,20

According to the 2018 general social survey (gss), 60% of all u. s. households have at least one pet. a veterinarian in ann arbor decided to conduct a survey to assess if over 60% of all ann arbor households have at least one pet. a 10% significance level was selected to be used. the random sample of 280 ann arbor households, resulted in 182 stating they currently have at least one pet. these results are turned over to you to perform the appropriate test. 1) state the appropriate hypotheses to be tested with a complete definition of the parameter of interest. (the significance level has been selected to be 10%). 2) check the necessary assumption(s) (you may assume that the selected sample is a random sample). 3) perform the appropriate test (include all supporting computations for the test statistic and p-value) 4) give your decision and provide a conclusion in context. your answer needs to be organized well and use labels for your steps 1, 2, 3, and 4. question 8 answer no answer entered.

Answers

Step-by-step explanation:

1. the claim here is that over 60 percents of the households living in ann harbor have pets.

null hypothesis;

h0: p≤0.60

alternative:

h1: p>0.60

2.

n is the size of the sample = 280

n(p) = 280 x 0.60 = 168 greater than 10

n(1-p) = 280(1-0.6) = 280 x 0.4 = 112  greater than 10

we use the normal dist since each of the above are greater than 10

3. n = 280

x = 182

x/n = 182/280

= 0.65

we get the test statistic z

z = [tex]\frac{0.65-0.6}{\sqrt{0.6*(1-0.6)/280} }[/tex]

= [tex]\frac{0.05}{\sqrt{0.000857} }[/tex]

=[tex]\frac{0.05}{0.02927}[/tex]

≈ [tex]1.71[/tex]

we get the p value = 1-p(z<1.71)

= 1-.9562

this gives 0.0438

4. we can see that 0.0438 < 0.10

so we conclude that over 60% of these households have at least one pet since we rejected h0.

Use the quadratic formula to solve for x. 5x² + 4x=4 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.​

Answers

x=0.58, x= -1.38

Quadratic formula is:
(-b-/+ sqrt b^2-4ac)/2a

We need to get the function to equal zero so we subtract 4 from both sides.

5x^2+4x-4=0 is out new equation.

a=5, b=4 and c=-4

Now we can solve by plugging in the variables!

-4+ sqrt 4^2-4(5)(-4)/2(5)= 0.5797

Do the same with subtracting because of the plus OR minus

-4-sqrt 4^2-4(5)(-4)/2(5)= -1.3797

Rounded to the nearest 100th will be:

x= -1.38, x=0.58

You can check your answer by plugging them back into the original function— you should get zero. :)

The coordinates of △ABC are as follows: A(0,0); B(0,8); C(6,7). Find the coordinates of the centroid​

Answers

Answer:

centroid is (2,5)

Step-by-step explanation:

Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.

Answers

Answer:

96 ft

Step-by-step explanation:

A= bh

A = 12 x 8

A = 96

Answer:

96 ft^2

Step-by-step explanation:

12*8

3. Classify the number: -4

Answers

Answer:

Aight.

Rational, Real, Integer, Negative

Answer:

It is a rational, real, negative number, and an integer.

Hope that helps!

Step-by-step explanation:

I WILL GIVE YOU BRAINERLEST AND A HEART AND MORE IF U ANSWER THIS PLSS

Carli records the number of articles she writes
each month for a year. What percent of the
months does she write more than 3 articles?

Answers

The answer is 75% djckdkskkak

00:00 What is the y-intercept of this graph? А.О B 2 C. 4 O D. 8​

Answers

A: 0 this is the point where the line crosses the Y

Answer:

cccccccif Rong d

mmmmmmmmmm

Factorise the following expression :​

Answers

Answer:

The answer is "[tex](p-1) (pq-r^2)[/tex]"

Step-by-step explanation:

Given:

[tex]\to P ^2q-pr^2-pq+r^2\\\\[/tex]

Rearrange the above value:  

[tex]\to P ^2q-pr^2-pq+r^2 = p^2q-pq-pr^2+r^2\\\\[/tex]

                                    [tex]= pq(p-1)-r^2(p-1)\\\\= (p-1)(pq-r^2)\\\\[/tex]

Which mixed number is equivalent to 21/13(−10/9+4)?

Answers

Answer:

4 and 6 over 10

Step-by-step explanation:

If u do the math u will get dis answer

Help me pls give the answer I beg​

Answers

I think the answer is 5,4 hope it helps’

Solve the simultaneous equations
8x – 3y = 30
3x + y = 7​

Answers

Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2



HELLPPPP PLEASE
I WILLL MARK YOU BRILL

Answers

Answer:

13

Step-by-step explanation:

71-6=65

65/5=13

therefore the answer is 13

5d + 6 = 71

5d = 71 - 6

5d = 65

d = 65/5

d = 13

Helpppppp meeeeee please

Answers

Answer:

D

Step-by-step explanation:

friend I am not sure but ..u can take a chance fir D or wait for others

D: n x 3/4

I’m pretty sure that’s the right answer.

HELP ME AGAIN I BEG WALLAHI THIS IS HARD

Answers

Answer: It’s C again lol

Step-by-step explanation:

GUYS HELP HURRY PLZ PLZ PLZ PLZ PLZ IV SEARCHED PERSON TO ANSWER CORRECTLY GETS BRAINLEST!

Answers

Answer:

Its the first one     J(-1,-4)

Step-by-step explanation:

YW

Answer/Step-by-step explanation:

The question is asking you that after the transformation what is J prime not the regular J. Please show the whole question if possible so I may help.

The answer would be (1,4) which is also know as C. Sorry, did not see the rotation before.

Cheers :)

i will mark you brainliest once you get the answer correct first!!

Answers

Given:

A composed figure of a rectangle, semicircle and another semicircle removed.

To find:

The area of the given figure.

Solution:

From the given figure it is clear that the diameter of semicircle and removed semicircle are same, i.e. 8 cm.

Since the diameter of semicircle are equal, therefore their area is also equal.

The area of the given figure is:

A = Area of the rectangle - Area of removed semi circle + Area of semicircle

A = Area of the rectangle - Area of semicircle + Area of semicircle

A = Area of the rectangle

We know that, the area of a rectangle is

[tex]A=length\times width[/tex]

The length of the rectangle is 14 units and width is 8 units. So, the area of composed figure is

[tex]A=14\times 8[/tex]

[tex]A=112[/tex]

Therefore, the area of the combined figure is 112 sq. units.

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

How did you get your answer, please show me your work

Answers

12) (shaded region) 12x25 =300
( un- shaded region) 6x10=60

300-60=240

240 is the answer for #12

A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?

Answers

Answer:

6.71

Step-by-step explanation:

Hopefully this helps! :)

The point (0, -4) is located.......?​

Answers

Answer:

on the y-axis

Step-by-step explanation:

Answer:

It is located on the y-axis

Help! This is due today!

Answers

Answer:

27π

Step-by-step explanation:

area of circle = πr^2

= π × 6^2

= 36π

36/4

= 9

36 - 9

= 27π units squared

What year is 7 years after 2003

Answers

Answer: 2010

Step-by-step explanation:

2003+7=2010

Find m A. 110°
B. 70°
C. 250°
D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME

it’s A 110

Same side interior angles are equal
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