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
frutty [35]
3 years ago
8

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(
Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

You might be interested in
Please i need someone help.
natali 33 [55]

Answer: I can help :)

Step-by-step explanation:

3 0
2 years ago
At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is repr
Sedbober [7]

Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

6 0
2 years ago
A pine tree measured 40½ feet tall. Over the next 7½ years, it grew to a height of 57 feet. During the 7½ years, what was the av
Anit [1.1K]
I got 2.2 feet each year
6 0
3 years ago
Please help with 1 , and 2 I really don’t understand this!
elena-s [515]
1. B
2. A

hope this helped
6 0
2 years ago
Read 2 more answers
If a piece of wood was 7.5 meters long into 3 equal pieces. how long is each piece in centimeters?
RideAnS [48]
2 point something most likely. Byeeee
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write 7.2 as a percent if necessary, round to the naerest
    10·2 answers
  • 294 blue balls, 252 pink balls and 210 yellow balls are distributed equally among some students with none left over. What is the
    14·1 answer
  • The metric prefix for denoting 1000X is what
    7·1 answer
  • What happens when two plates<br> move toward each other?
    13·1 answer
  • What is the solution of the equation 6×+3=5×-5
    7·1 answer
  • Help me please on this math
    14·1 answer
  • What does it mean to solve an equation?
    12·1 answer
  • The diameter of a circle is 14ft. What is the circle's area?​
    15·1 answer
  • Match the equation to its solution. 2^2* 2^3 =2^x<br><br> x = 6<br> x = 1<br> x = 5<br> x = 8
    9·1 answer
  • Eric wants to create a scale drawing of a house. The scale drawing needs to fit on a piece of paper that is 6 inches wide. The d
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!