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
Kamila [148]
3 years ago
14

The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

y-4 = \frac{2}{3}(x-1)

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, y = -\frac{3}{2} x-4. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since -\frac{3}{2} is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be \frac{2}{3}.  

2) Now, use the point-slope formula, y-y_1 = m (x-x_1) to write the new equation with the given information. Substitute m, x_1, and y_1 for real values.

The m represents the slope, so substitute \frac{2}{3} in its place. The x_1 and y_1 represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for x_1 and 4 for y_1. This gives the following equation and answer:

y-4 = \frac{2}{3}(x-1)

You might be interested in
I need help if someone would? what is the correlation coefficient of the set of data? round your answer to the nearest thousandt
RSB [31]
0.98867. there are eight numbers, to get from one number to another use this
8 0
3 years ago
The total income for the Mr. Jones’s apartment building can be represented by the equation 2R minus C minus 2P, where r is the a
son4ous [18]

total income= 2R-C-2P

R= omoun tof rent paid by each tenant = $700

C= cable bill = $100

P = Phone bill = $50

Replace the values:

Total income = 2(700)-100-2(50)

total income= 1,400-100-100 = 1,400-200= $1,200

Total income =$1,200

4 0
1 year ago
15%of 250 <br> Pls give and step by step
pychu [463]

Answer:

Step-by-step explanation:

15% = 15/100 = .15

250 x .15 = 37.5

5 0
3 years ago
Read 2 more answers
‘write an equation of the line that passes through each pair of points’ (1,2) and (4,8)
Levart [38]

<u><em>Hi there! </em></u>

Step-by-step explanation:

Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{8-2}{4-1}=\frac{6}{3}=2

<em><u>So therefore, the slope is 2.</u></em>

<em><u>Final answer is 2.</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

I hope this helps you!

Have a nice day! :)

-Charlie

:D

8 0
3 years ago
A hot cup of coffee is put outside on a cool day. The temperature of the coffee, C in degrees Celsius, is a function of time, t
MArishka [77]

9514 1404 393

Answer:

  • units for 20: minutes
  • units for 30: degrees Celsius

Step-by-step explanation:

The problem statement tells you the function value is in degrees Celsius, and the function argument is in minutes.

units for 20: minutes

units for 30: degrees Celsius

4 0
3 years ago
Other questions:
  • The cost of two tables and three chairs is 705$. If the table costs 40$ more than the chair, find the cost of one table and two
    14·1 answer
  • A computer is priced at $400 this year, and will be sold at 90% of its original value next year. What is next year's price for t
    14·1 answer
  • 14.2 is 35.5 percent of what number
    7·1 answer
  • Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
    12·2 answers
  • Lucas wants to prove that the base angles of any isosceles triangle are
    12·2 answers
  • Alan has already baked 10 pies, and he can bake 2 pies with each additional cup of sugar
    5·1 answer
  • help me please !!!!!!!!!
    14·1 answer
  • Amanda planned to run 5 kilometers. Instead, she ran 170% of the planned distance,
    7·1 answer
  • Help me and thank you
    5·2 answers
  • 1 of 10Give the property that justifies each step.5(2 + 10)20Given52 + 50 = 2057 = -30N2-6o- Addition Property of Equality:: Sub
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!