What is an equation of the line that passes through the points (-3, 8) and (4, 1)?

Answers

Answer 1

Answer:

The equation of the line is:

[tex]y=-x+5[/tex]

Step-by-step explanation:

Given the points

(-3, 8)(4, 1)

Finding the slope between the points

[tex]\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]

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

[tex]m=\frac{1-8}{4-\left(-3\right)}[/tex]

[tex]m=-1[/tex]

Using the point-slope form of the line equation

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

where m is the slope

substituting the values m = -1 and the point (-3, 8)

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

[tex]y-8=-1\cdot \left(x-\left(-3\right)\right)[/tex]

[tex]y-8=-\left(x+3\right)[/tex]

Add 8 to both sides

[tex]y-8+8=-\left(x+3\right)+8[/tex]

[tex]y=-x+5[/tex]

Therefore, the equation of the line is:

[tex]y=-x+5[/tex]


Related Questions

A percent is a blank of proportionality describing the blank of the blank please answer fast

Answers

Answer:

Constant

part

whole

Step-by-step explanation:

From the question, we want to fill in the gaps with the correct vocabulary

The correct wordings in this question is that;

A percent is a constant of proportionality describing the part of the whole

What we are trying to learn here is that a percentage of something is just a value that represents how big that particular value is to the entire whole value

101.101 correctly written out in words

Answers

Answer:

One hundred one and one hundred one thousandths

Step-by-step explanation:

Answer:

Step-by-step explanation:

basicliy he's saying c

wich is true:)

Simplify: (0.24 × 14.3) ÷ 5.2

Answers

1. Simplify 0.24 x 14.3 to 3.432.

= 3.432 ÷ 5.2

2. Simplify 3.432 ÷ 5.2 to 0.66.

= 0.66

Willy Wonka has x chocolate bars in his factory. He gives one third of the chocolate bars to Charlie, and eats one half of the remaining chocolate bars. If he is left with 90 chocolate bars in the factory, what is the value of x?

Answers

Answer: The value of x= 270

Step-by-step explanation:

Given: Willy Wonka has x chocolate bars in his factory.

Chocolates he gave = [tex]\dfrac13 x[/tex]

Remaining chocolates =  [tex]x-\dfrac{x}{3}=\dfrac{2x}{3}[/tex]

Half of the remaining chocolate bars = [tex]\dfrac12\times\dfrac{2x}{3}=\dfrac{x}{3}[/tex]

Now , Chocolate left [tex]x-\dfrac{x}{3}-\dfrac{x}{3}=\dfrac{3x-2x}{3}=\dfrac{x}{3}[/tex]

As per given , [tex]\dfrac x3=90[/tex]

[tex]\Rightarrow\ x=90\times3=270[/tex]

Hence, the value of x= 270

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

30.5

Step-by-step explanation:

cos18=29/x --> reciprocate for simplicity : 1/cos18=x/29 --> solve for x

PLEASE HELP ME I WILL GIVE YOU BRAINIEST ANSWER

Answers

Answer: What is the question?

Step-by-step explanation: The slope is 1x and the equation is y=x+3

There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running club. What percentage of the students
at this Private School are in the Running club?

Answers

Answer:

40%

Step-by-step explanation:

Number of girls = 7

Number of boys = 13

Total students = 7 girls + 13 boys

= 20 students

Running club

Number of girls = 5

Number of boys = 3

Total students in the running club = 5 girls + 3 boys

= 8 students

percentage of the students that are in the Running club = Total students in the running club / Total students

× 100

= 8/20 × 100

= 0.4 × 100

= 40%

Percentage of the students

at this Private School are in the Running club is 40%

Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs. How much has she paid after six months?

Answers

Answer:

Step-by-step explanation:

20x+85=

20(6)+85=

120+85= $205

help 6th grade math i will give brainliest

Answers

I think C I’m NOT for sure but good luck!

3983774 divided by 693.9

Answers

Answer:

5741.135

Step-by-step explanation:

Hope that helped

Answer:

5741.13561032

Step-by-step explanation:

brainliest?? just sayin

Need help with this question

Answers

Answer:

D

since 45027/3 is is 15009 and 804597/3 is 268199

All of the ingredients are purchased in bulk sizes. The butter comes in 12-cup containers. How many recipes will each container of butter be able to make?

Answers

Answer:

some information is missing, so I looked for similar questions and found the attached image:

since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).

One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.

Can someone check my work?

Answers

Answer:

you're correct! :)

Step-by-step explanation:

Yes it is correct dear.

Now you can make it on a graph by the solutions of the equation.

For the value of x,

[tex]9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} [/tex]

And for value of y,

[tex]9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5[/tex]

Kevin found his average number of text messages sent over three days using the expression below. Which statement best describes the number of the expression?

Answers

Answer:

option C.

Step-by-step explanation:

well the numerator is three. So I don't see why not.

someone help me with this question please.

Answers

Answer:

Andre scored 14 points.

Equation: x = 14

Step-by-step explanation:

Let the number of points Andre scored be x.

Diego's points = x-9

Noah's points = (x-9) × 2

                       = 2x-18

Now, you know the exact value of Noah's points which is 10.

2x-18 = 10

Isolate the 2x.

2x = 10+18

    = 28

x = 28÷2

  = 14

Answer:

noah = 10 pts.

diego = 5pts. half as many as noah.

diego is 9pts less than andre.

if diego scored 5 and is 9 less than andre. andre scored 5+9

Andre scored 14pts

Step-by-step explanation:

I need help someone please

Answers

Answer: [tex]\frac{6}{2}[/tex]

Step-by-step explanation:

1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change

2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]

3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))

4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]

6. Solve [tex]\frac{6}{2}[/tex]

membership to iron gym cost $40 per month plus $30 registration fee. the monthly cost is deducted automatically from your account. if your starting balance is $350 how many months will you be able to go to the gym before you have to add money to your account?
A. 6
B. 7
C. 8
D. 9

Answers

Answer:

C. 8

Step-by-step explanation:

8 x 40 = 320$ plus 30$ fee is 350

Answer:

8

Step-by-step explanation:

40x 80=320

320+30=350

What is this math please help ASAP

Answers

Answer:

A) A line

Step-by-step explanation:

Notice that:

x-y=4

-y=4-x

y=-4+x

y=x-4

The equation y=mx+b produces a line, so A) a line would be correct

Answer: is a line

Step-by-step explanation:

because  does it have to be a line from a line

idenify the slope and y-intercept of the function y=-2x+3

Answers

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

what is the missing length???

Answers

Answer:

25

Step-by-step explanation:

144/60 = 2.4

60/2.4 = x

x = 25

How many lemons does it take to make an orange?

Answers

Answer:

uh 4?

Step-by-step explanation:

ASAP 30 points and BRAINLIEST!! PLS!

Answers

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

[tex]m=\frac{2}{5}[/tex]

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it

Please answer quickly

Answers

Answer:

a and c I think if I'm wrong I will try again

Answer:

The first and third option. (I think)

Step-by-step explanation:

Need Help ASAP!!!

Find the sine of G

Answers

Answer:

≈0.68

Step-by-step explanation:

with what u have u can get [tex]cos G^{-1}[/tex]

so it will be equal [tex]\sqrt43[/tex]/9 =43°13'49.75"

now u can get the sine

sin 43°13'49.75" ≈ 0.68

The cost of fencing a square garden at the rate of Rs.5 per
metre is Rs. 2000. Find the total length of the fence.

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Cost per metre = Rs. 5

Total cost = Rs. 2000

Then total length of the fence = Rs.2000/Rs.5

= 400 metre

Total length of the fence = 400 metre

Jackson had $53 in his account. He bought a video game. He now has -$12 in his
account. How much was the video game?

Answers

Answer:

$65

Step-by-step explanation:

Add 53 and 12 together to see how much it costed.

Allen is in a road trip he has travelled 210 miles in 3 hours if he continues to drive at this rate how many hours will it take him to drive 525 miles

Answers

Answer:

15

Step-by-step explanation:

Answer:

7.5 hours

Step-by-step explanation:

210 dived by 3= 70

So, 525 dived by 70= 7.5 hours

Brainliest?

I'll mark you brainiest if you give me the correct answer.​

Answers

Answer:

42b -7.5

I think that's the answer since you are getting a discount which means you are subtracting

please help!! lol y=?x+?

Answers

Answer:

y= 4x-9

Step-by-step explanation:

i believe it’s 2 1/4 because the line it’s not passing 2 completely and -9

3. Use your graphing calculator to find the value of f'(0) for f(x) = cos(x) - eX. (4 points)

Answers

Answer:

-1

Step-by-step explanation:

Derivative of cos(x)=-sin(x)

Derivative of e^x=e^x

Derivative of cos(x)-e^x= - sin(x)-e^x

plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1

0-1=-1

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