What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?

Answers

Answer 1

Answer:

The answer is

[tex] \huge y = 4x - 22[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]

We have the final answer as

[tex]y = 4x - 22[/tex]

Hope this helps you

Answer 2

Answer:

y+10=4(x-3) in point-slope form

Step-by-step explanation:

In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.


Related Questions

Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?


Answers

Answer:

5mph faster

Step-by-step explanation:

Kayla is going 48 mph because 144/3 is 48

Kendra is going 53mph because 224/4 is 53

53-48=5

8 miles/hour Kendra drives faster than Kayla.

Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.

We need to find out how much faster Kendra drive on average.

How to calculate the speed?

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, the speed of Kayla=144/3 = 48 miles/hour

The speed of Kendra=224/4 = 56 miles/hour

So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.

Therefore, 8 miles/hour Kendra drives faster than Kayla.

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#SPJ2

PLS!!!!! HELP ME!!! I WILL MARK U!!!

Answers

Answer:

-5

Step-by-step explanation:

Answer:

The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.

Step-by-step explanation:

If the domain of a relation is all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values, can you determine whether the relation is a​ function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the​ range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the​ range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the​ range, so each domain value maps to only one range value. The relation is a function.

Answers

Answer:

This relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

Step-by-step explanation:

A relation is said to be a function if each and every element of the domain has a distinct value value in the range.

Domain of a relation is a set of all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values.

Whole numbers between 2.5 and 7.5 are [tex]3,4,5,6,7[/tex]

This relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

B. This relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

As we know that:

A relation is said to be a function if each and every element of the domain has a distinct value value in the range.

It is given that Domain of a relation is a set of all whole numbers between 2.5 and​ 7.5, and the range contains 6 different​ values.

Now, whole numbers between 2.5 and 7.5 are:

[tex]3,4,5,6[/tex]

There are 4 numbers in the domain and 6 numbers in the range.

That is the elements in domain are less than the elements in the range.

Therefore, this relation is not a function as the domain has fewer values than the​ range, so there must be a domain value which maps to more than one range value.

Hence the correct option is A.

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Please help me with this !!

Answers

Answer:

All of the points would be eight places lower in the y value

Step-by-step explanation:

Lets check by putting 8 in the place of x y= 8^2  which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.

Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?

Answers

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

at the beginning of grade 6 the number of advanced math to the number of regluar math students was 3:8 however after taking placement tests students were moved around chaning the ratio of the number of advanced math students to the number of regluar math students was 4:7 how many student students started in reglaur math and advanced math if there were 92 students in advanced math after the placement test. Please tell me how to do this on a tape diagram

Answers

Answer:

There were 69 students in advanced math and 184 students in regular math before the placement tests

Step-by-step explanation:

The correct question

At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math  students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the  number of advanced math students to the number of regular math students to 4:7. How many students started in  regular math and advanced math if there were 92 students in advanced math after the placement tests?

Let

x ----> the number of advanced math students

y ----> the number of regular math students

we know that

At the beginning of grade 6

----> equation A

After taking placement tests

----> equation B

----> equation C

Remember that

The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests

step 1

Find out the total number of students  after taking placement tests

we have

----> equation B

----> equation C

substitute the value of x in equation B and solve for y

The total number of students  after taking placement tests is

step 2

Find out how many students started in  regular math and advanced math

we have that

At the beginning of grade 6

----> equation A

-----> equation  D

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (69,184)

see the attached figure

therefore

There were 69 students in advanced math and 184 students in regular math before the placement tests

Answer:

:o

Step-by-step explanation:

Which equation below could be used to solve the following problems? Karlie has a
collection of quarters, dimes, and nickles that equal $2.70. If she has 7 quarters and 7
nickles, how many dimes (d) does she have?
A. 0.10d + 7(0.25) + 7(0.5) = 2.70 ; d = -25.5
B. 0.10d + 7(0.25) + 0.05 = 2.70 ; d = 9
C. 10d +7(25 + 5) = 2.70 ; d = 20
D. 0.10d + 7(0.25 + 0.05) = 2.70 ; d = 6

Answers

Answer:

Step-by-step explanation:

0.25×7+0.05×7+0.10d=2.70

7(0.25+0.05)+0.10d=2.70

7(0.30)+0.10d=2.70

2.10+0.10d=2.70

0.10d=2.70-2.10

0.10d=0.60

d=0.60/0.10=6

Hence D

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

Answers

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for x

Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28

1 1/4 divided by 2

a ) 2/3
b ) 5/8
c ) 1 1/3
d ) 2 1/12

Answers

Answer:

B) 5/8

Step-by-step explanation:

1.25/2

0.625

5/8

the answer is b) 5/8

What is -2(x - 5)- 11 in simplest form?

Answers

It would be -2x-1 if u need steps comment

Answer:

-2x - 1

Step-by-step explanation:

-2(x-5)-11

We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)

-2(x-5)-11

-2x + 10 - 11

-2x - 1

Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?

Answers

Answer:

Not enough context.

Step-by-step explanation:

Please give us the full question. How many chocolate chips in a muffin?

convert 300 seconds to minutes there are 60 seconds in 1 minute​

Answers

Answer:

5 Minutes

Step-by-step explanation:

If you divide 300 by 60 you get 5.

Answer: 5 MINUTES

Step-by-step explanation:

A hot air balloon ascended at the rate of
400 feet per hour for 3 hours and 15
minutes. What was the total distance that
the balloon ascended?

Answers

The answer is 1300 if you want me to show my work I will

Answer: the answer is 1300 hope this helps you

Step-by-step explanation:

Which point lies on the graph of the function shown below y=-x^2+5x-3

A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)

Answers

Answer:

C: (2,3)

Step-by-step explanation:

to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you

someone please help me with this! please write the steps as well! thank you so much!

Answers

Answer:

where is the question

Step-by-step explanation:

which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14

Answers

Answer:

A

Step-by-step explanation:

9/5 and 19/10 so yeah hope it helps

Answer:

C. 15/10 and 21/14

Explanation:

A P E X

Find ‘k’ if 2 k- 1, 7, 11are in A.P.

Answers

Given:

• 2k -1 , 7 and 11 are in AP .

To find :

• The value of k .

Solution :

• As we know that , In AP common difference is same .

• b - a = c - b

=> 2b = a + c

Here :

• a = 2k-1

• b = 7

• c = 11

=> 2 (7) = 2k-1+11

=> 14 = 2k+10

=> 2k = 14-10

=> 2k = 4

=> k = 4/2

=> k = 2 .

Hence ,the value of k is 2 .

Hope it will help you.

Regards.

−2+(−7)? help me what is the answer please help.

Answers

Answer:

-9

Step-by-step explanation:

-2 + (-7) = -2 - 7-2 - 7 = -9

I hope this helps!

Answer:

-9

Step-by-step explanation:

Please make me Brainliest

brainly wont lemme do nun

Answers

lol ur wasting ur points

Answer:

why tho bro bro

Step-by-step explanation:

why tho bro bro

the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water

Answers

Answer:

220 should be the answer.

Step-by-step explanation:

Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m

Answers

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

Please answer this for me it’s due tonight!

Answers

Answer:

the answers are the first one and the third one.

A's slope is y = 5.75x + 3

B's slope is y = 5.5x + 4

Are the lines parallel? y = x + 4 and y = x-2

A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel​

Answers

Answer:

A

Step-by-step explanation:

Remember that parallel lines have the same slope.

The y-intercept does not matter.

We have the two equations:

[tex]y=x+4[/tex]

And:

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

The slope is the coefficient in front of the x.

In the first equation, we can rewrite it as:

[tex]y=(1)x+4[/tex]

Therefore, the slope of the first equation is 1.

Similarly, for the second equation, we can rewrite it as:

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

The slope of the second equation is also 1.

Therefore, since their slopes are equivalent, they are parallel.

Thus, our correct answer is A.

Solve the notable products (x-12).(x+12)

Answers

Answer:

x^2 -144

Step-by-step explanation:

graph for y=2/3x-4 ​

Answers

Y intercept at -4 and it will be increasing from left to right because it has a positive slope.

Answer:

2/3x-4

Step-by-step explanation:

I’m dumb too

Evaluate the expression for x = 2 and y = 4.

Answers

Answer:

2985968

Step-by-step explanation:

your welcome

Answer:

80

Step-by-step explanation:

12(2*2*2) =96

2*2*4=16

96-16=80

What does "opposite semi-planes of segment" mean?

Answers

Answer:

opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.

Step-by-step explanation:

1. Half of a number is at most 5 units from 14.​

Answers

Answer:

18≤n≤38

Step-by-step explanation:

1. Multiply (3)(−4)(2). (5 points)

Answers

Answer:

-24

Step-by-step explanation:

Answer-24

Step-by-step explanation:

3 x -4 x 2

6 x -4 =

-24

2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer

Answers

Answer:

Question example:

The amount of interest is 208.74$

Here we have given

Amount (P)=850$

Interest (r)=12.25%

Time (t)=2 years

we have to calculate the simple interest

What is the formula for simple interest?

[tex]I=\frac{PRT}{100}[/tex]

Plug the given value in above formula

[tex]I=\frac{850*12.25*2}{100}[/tex]

Simplify above equation we get

[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]

Therefore the amount of interest is 208.74$

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