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
Alexeev081 [22]
3 years ago
10

Which of the following is a point-slope equation of a line that passes through

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

The Answer is: y = -2/3x + 10/3

Step-by-step explanation:

Given points (-1, 4) and (8, -2) first find the slope:

m = (y - y1)/(x - x1)

m = (4 - (-2)) / (-1 - 8)

m = 4 + 2 / -9

m = -6/9 = -2/3

Use the point slope form and point (8, -2) and slove for y:

y - y1 = m(x - x1)

y - (-2) = -2/3(x - 8)

y + 2 = -2/3x + 16/3

y = -2/3x + 16/3 - 2

y = -2/3x + 16/3 - 6/3

y = -2/3x + 10/3

Proof using the point (-1, 4):

f(-1) = -2/3(-1) + 10/3

= 2/3 + 10/3

= 12/3 = 4, giving point (-1, 4)

Hope this helps! Have an Awesome Day!! :-)

You might be interested in
Three times the quantity five less than x, divided by the product of six and x
Elden [556K]

Answer:

\frac{3(x-5)}{6x}

Step-by-step explanation:

we know that

The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5

3(x-5)

The phrase "the product of six and x" means the number 6 multiplied by x

6x

therefore

The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

\frac{3(x-5)}{6x}

7 0
3 years ago
A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the team won?
BlackZzzverrR [31]

Answer:

It has won 15 games.

Step-by-step explanation:

24*.625=15

6 0
1 year ago
A micro-photograph of a human hair shows the hair magnified 150 times. If the hair is
stepan [7]

Answer:

<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.

The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.

The hair can be seen 2 cm wide in the photograph.

Converting to millimeters, 2 cm = 2*10 = 20 millimeters.

The actual width of the hair is 20 / 150 = 0.13 mm

6 0
2 years ago
I<br> 216<br> Solve the linear equation.<br> 9x - 9 = 5x + 19<br> x=-7<br> x = 7<br> x = 5<br> x = 2
const2013 [10]

Answer:

x=7

Step-by-step explanation:

9x-9=5x+19

Combine like terms

9x-5x=19+9

4x=19+9

4x=28

x=7

5 0
3 years ago
If the simple interest on $4,000 for 10 years is $3,200,then what is the interest rate
STALIN [3.7K]
The answer will be 1.25
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following are a pair of vertical angles?
    8·1 answer
  • 30 Pts.....
    10·2 answers
  • Listed below are the amounts​ (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the​ range,
    8·1 answer
  • the shop keeper at an inn receives 175 letters a week (7 days). How many letters does he receive in a day
    9·2 answers
  • What name is given to the price dealerships pay for vehicles?
    12·1 answer
  • Help a girl out!! Can you explain how you got the answers as well?
    9·1 answer
  • Solve the inequality. 4(x + 3) − 7 ≥ x + 3(x + 1)
    9·1 answer
  • Rose wants to buy a toy that costs $14. If she gives the cashier $20, which equation will tell you how much change Rose gets bac
    7·1 answer
  • OD 2x - 4
    5·1 answer
  • The coordinates of the preimage of polygon ABCD and the image ofA'B'C'D' are given below. What rule describes the transformation
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!