1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Contact [7]
3 years ago
10

Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.

Mathematics
1 answer:
uysha [10]3 years ago
3 0

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Step-by-step explanation:

The form of the point-slope equation is y-y_{1}=m(x-x_{1}) , where

  • m is the lope of the line
  • (x_{1},y_{1}) is a point lies on the line

The slope of a line m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

(x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ x_{1} = 2 and x_{2} = 7

∴ y_{1} = 3 and y_{2} = 4

- Substitute these value in the rule of the slope

∵ m=\frac{4-3}{7-2}=\frac{1}{5}

∴ the slope of the line is m=\frac{1}{5}

Let us substitute the value of the slope and the coordinates of point (x_{1},y_{1}) in the form of the equation

∵ y-y_{1}=m(x-x_{1})

∵ x_{1} = 2 and y_{1} = 3

∵ m=\frac{1}{5}

∴ y-3=\frac{1}{5}(x-2)

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

You might be interested in
Point B is at (4,-16).Where is B prime after a dilation with a scale factor of 3/4
torisob [31]
(4,-16) factor 3/4
3/4 ×4=3 , -16×3/4= -12
B' (3,-12)
5 0
3 years ago
Robert makes $951 gross income per week and keeps $762 of it after tax withholding. How many allowances has Robert claimed? For
MAXImum [283]

Answer:

Option D,four is correct

Step-by-step explanation:

The tax withholding from the gross income of $951 is the gross income itself minus the income after tax withholding i.e $189  ($951-$762)

The percentage of the withholding =189/951=20% approximately

Going by the multiple  choices provided,option with 4,189 dollars seems to the correct option as that is the exact of the tax withholding on Robert's gross income and his earnings fall in between $950 and $960

4 0
3 years ago
Select all the stories that can be represented by the diagram.
Inessa05 [86]

Answer: Choice C and Choice D

========================================================

Explanation:

  • Choice A doesn't work because it the $1 should be $7 instead.
  • Choice B doesn't work because it should be Elena spending $7 total on 3 notebooks and a $1 pen. The x is the amount per notebook.
  • Choice C does work. If x is the number of grapes Noah gives each friend, then 3x is the total amount Noah gives over. Then 3x+1 is the number of grapes total. That +1 at the end is the grape Noah eats. We end up with 3x+1 = 7 because Noah starts off with 7 grapes.
  • Choice D works also. The x is the number of hours for math, science and history each. So 3x is the combined time of those three classes. Add on 1 to get 3x+1 to represent all 7 hours, ie 3x+1 = 7.
  • Choice E does not work. If it was her spending $7 on 3 markers and a $1 pen, then it would work.
8 0
2 years ago
Read 2 more answers
Is 90 integers or rational Number
Natasha_Volkova [10]

90 is a rational number

4 0
3 years ago
Read 2 more answers
5 markers cost $6.55.Which equation would help determine the cost of 4 markers?
Semmy [17]

5 markers -------> $6.55

4 markers -------> x

undefined

4 0
1 year ago
Other questions:
  • How do you put 3y+x=12 in y=mx+b form
    5·2 answers
  • 7 times what equals 1?
    15·2 answers
  • there are 120 seats in the balcony of theatre .if this 1/5 of the total seats, what's the total number of seats in the theater​
    8·2 answers
  • Solution of the inequality y>1.9
    13·1 answer
  • (-6x3-4x2-8)+(x3-x2-9x+4) add together and simply
    14·1 answer
  • Which unit is the largest?<br><br> decameter<br> millimeter<br> meter<br> centimeter
    5·2 answers
  • 14. Each square on the grid below is 2 cm by 2 cm. Draw a rectangle
    6·1 answer
  • Find the angle between u = i+sqr of 7j and v = -i+9j. Round to the nearest tenth of a degree.
    13·1 answer
  • What is one-fourth of 24
    7·2 answers
  • Harry collected green balls in a bag. He drew two balls, of the five balls, out of the bags. Is this a random sample of the gree
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!