Mathematics High School

Write the equation of a line going through the points (4,2) and (7,-3).

Answers

Answer 1

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Related Questions

The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.

Answers

Answer:

Step-by-step explanation:

x + y = 25

2x - y = 6           Solve for y in this the second equation. Add y to both sides

2x  = 6 + y         The ys on the left cancel. Subtract 6 from both sides.

2x - 6 = y

Put this value of y into the first equation

x + y = 25

x + 2x - 6 = 25      Combine on the left

3x - 6 = 25           Add 6 to both sides.

3x = 25 + 6           Combine the right

3x = 31                   Divide by 3

x = 31 / 3            

x = 10.333333

x + y = 25

10.33333 + y = 25  Subtract 10.33333

y = 25 - 10.333333

y = 14.666666

x + y = 25

10.33333 + 14.66666

25 approximately.

2x - y = 6

2*10.33333 - 14.66666

20.66666 - 14.66666

6

You should note that those numbers are repeating decimals

2x - 6 = y

X + 5x - 6 < 12 solve for inequality

Answers

Answer:

7

Step-by-step explanation:

x+5x<12

x+5x=12

12-5x

=7

7 divide by 1

=7

Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?

Answers

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

Which angle number is adjacent to angle to ZOKL?
​

Answers

Answer:

there aint no picture

Step-by-step explanation:

A train travels 240 miles in 6 hours. At this rate, how far could the train go in 13 hours?

Answers

Answer:

Step-by-step explanation:

520 miles

y = -x + 3
What is the slope for this?

Answers

The slope for this equation is x=3

state if polygons are similar

Answers

Answer:

B

Step-by-step explanation:

i need le help...if u have 25 pieces of gum and you got 7 more pieces then subtracted 3 and added 16 what would it equal Im to tired and my brain hurts from the test to figure it out

Answers

Answer:

45

Step-by-step explanation:

25 plus 7 is 32

32 minus 3 is 29

29 plus 16 is 45

hmmm well that's a  lil too hard for my smol brain to process but hmmm well when I think about it, it really gets my brain thinking and ummm well you see it's uh hmm you add the yeah to that and hmmmm well ahhh that looks to be about right uuuuuuuuuh

45....

.....or is it?

hmmmmmmmmmmmmmmm

3x + x - 7 = 10

What does x=

Answers

First you add 3x+x because they are like terms.

3x+x-7=10  

Your New Simplified Equation:

4x-7=10  

Now, you have to take out the -7 by adding a positive 7. Also you                          have to add +7 on the other side so add 7 to 10.

Your New Simplified Equation:

4x=17      Now, you divide both sides by 4.

Your New Simplified Equation:

x= 17/4 So, that's your answer :)

Matthew buys 13 uniforms for the baseball team. He pays $455 in total. What ratio shows the relationship of price to uniforms?

2Points
Select 2 possible answers.

Remember to reduce the ratio by the GCF

A
1 to 13

B
35 to 1

C
13 to 455

D
455 to 13

Answers

Answer: 35:1

Step-by-step explanation:

Glad I could Help :)

A thermometer is used to calculate the average kinetic energy of the molecules in in a substance what is the theoretical temperature at which molecular motion stop?
A. 9 degrees Celsius
B. 32 degrees Fahrenheit
C. Absolute
D. 273 Kalvin

Answers

.....The answer is C

You and a friend tutor for a total of 12 hours. Use the
tape diagram to find how many hours you tutor.
You
Friend

Answers

The answer is 2
12/6=2
2x2=4

5% of the students in Mr. Ferris's class joined the
band. If 65 students joined the band, how many
students are there in Mr. Ferris's class?

there’s not abc or d :( but can someone help me?

Answers

Answer:

maybe 68?

Step-by-step explanation:

What is the slope of the graphed line?

Answers

Answer:

3/9

Step-by-step explanation:

3/9 because it goes up 3 right 9

Solve 7+2x over 3 = 5

Please and thank you! x

Answers

Answer:

x = 4

Step-by-step explanation:

(7 + 2x) / 3 = 5

Cross product

7 + 2x = 5 * 3

7 + 2x = 15

Subtract 7 from both sides

2x = 15 - 7

2x = 8

Divide both sides by 2

x = 8/2

x = 4

MMA-A unit 3 packet

Answers

There’s no question tho?????
Nice it was unite 3 packet

please help i’ll give you brainlest pleas

Answers

Answer:

20°,40°,75°

Step-by-step explanation:

Subtract the number from 90 and turn the difference to a degree

I’m pretty sure it’s 20°,40°,75°

Can someone help with this.

Answers

A
Both would be considered exterior angles.

4|m-n|
If m=-7 and n=2

Answers

you would first substitute -7 for m and 2 for n. It would look like this: 4| -7-2 | . we first solve the absolute value because it is the first step in PEMDAS or order of operations. -7-2 is equal to -9. Our equation should look like this now: 4 |-9| . we solve the absolute value portion, the absolute value of a negative number is the the same number but positive. the absolute value would be 9. (we just take the negative symbol off). we now have 4 x 9. This is equal to 36.

36 is the answer.

It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

28

Step-by-step explanation:

Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs

so the car travelled 2686 miles in 96 hours

2686/96= 27.9791666667

So the car's average speed is about 28

Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]

Answers

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.

x+0.5y=1.5 solve for y

Answers

Answer:

Y = 3 - 2x

Step-by-step explanation:

declare the variables
set up the equation:
The difference in ages between Joe and his older brother Sam is five years. The sum of
their ages is 35. How old is each brother?

Answers

The answer is 7 because u add them

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi​

Answers

Answer: 16pi

Step-by-step explanation:

Help please! i have gymnastics soon

Answers

Answer:

A)

Step-by-step explanation:

The answer is A for sure

Which expression is equivalent to the measure of 24 in the image below?
5
6
3
1
2
4

Answers

I can’t see the image I’m sorry maybe it’s just me

5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

its false

Step-by-step explanation:

5+4-6=24

9-6=24

3=24 3 does not equal to 24 so its false

5m+22-15n need answer

Answers

Answer:5m+22-15n

Step-by-step explanation:

7= -5x
Select one:
O1. Multiply each side by 5.
O2. Multiply each side by -5.
O3. Multiply each side by 1/5.
04. Multiply each side by -1/5.

Answers

Option 2 multiple each side by -5
Option 4. Multiply each side by -1/5
It’s the same as dividing by -5.
The - cancels out and 5/1x1/5 is equal to one

I rlly need help and the operation bby plssssss help me

Answers

AFE=35 degrees because 180=55+90+x

Answer:

∠ AFE = 35°

Step-by-step explanation:

∠ EFD = ∠ BFC = 55° ( vertically opposite angles )

Since BD is a straight line , then

∠ EFD + ∠ AFE + AFB = 180°, that is

55° + ∠ AFE + 90° = 180

∠ AFE + 145° = 180° ( subtract 145° from both sides )

∠ AFE = 35°

Other Questions
the sum of 17 and 3 times x Name 1 object that you would use the following types of measurements for; Mass, Volume and Density. I need this by 8:30 3. Without doing any calculations, compare Expression A to Expression B.A. (34+25)=14B. 34+25Which statement is true?CA. Expression A is 2 times as great as expression B.B.Expression B is 4 times as great as expression A. -YesCC.Expression A is 4 times as great as expression B.D. The two expressions are equal to each othe7 long roms of plants Review the underlined sentence on page 2. What idea does Kennedys repetition of the wording ""not to our . . . but to our . . ."" emphasize? What combinations of wordsdoes Bradstreet use in thefirst six lines of the poem toexude a feeling of alarm?A. Silent night, sorrow near, Fire and FireB. Did not look, waken'd was, no manknowC. Thund'ring noise, piteous shrieks,dreadful voice, fearful sound In "My Father Is a Simple Man," how does the author develop the speaker's viewpoint toward his father? by emphasizing the fact that the speaker's father is complex and difficult to approach by highlighting the speaker's father's work ethic, kindness, and inner strength by comparing the speaker's father with the other fathers in town by recognizing that the speaker's father is beloved by the entire community Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after12 months.Answer: Total cost after 12 months is $ 1. SOCCER Suppose a youth soccer field has aperimeter of 320 yards and its length measures 40yards more than its width. Ms. Hughey asks herplayers to determine the length and width of theirfield. She gives them the following system ofequations to represent the situation. Use elimination tosolve the system to find the length and width of thefield.2L + 2W=320L - W = 40 What was demanded from all Americans? How do you think Africans would respond to being told of the supposed positive effects of Imperialism? I WILL GIVE 69 POINTS AND BRAINLIEST TO WHOEVER ANSWERS ALL 5 QUESTIONS Brianliest for correct answer what would the answer be 9. My teacher told me to read. I might understand. Please help me with this homework and give me the correct answer How much heat must be used to raise thetemperature of 180. g water from 19 C to 96C?The specific heat of water is 4.18 J/gC. Explain how black schools had a modified schedule Given that line AD ll to line EH, find the measure of The emergence of the German industries referred to in the passage is most directly explained by which of the following processes in the nineteenth century?The spread of new industrial technologies such as the internal combustion engine from the United StatesThe spread of new industrial technologies such as the internal combustion engine from the United StatesAThe development of new methods of production during the second industrial revolutionThe development of new methods of production during the second industrial revolutionBThe greater diversity of manufactured goods produced by industrial factoriesThe greater diversity of manufactured goods produced by industrial factoriesCThe growing importance of using coal as fuel in industrial production The nucleus of a fluorine atom has a charge of? A. +19B. 0C. +9D. +1