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
Ber [7]
4 years ago
5

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Mathematics
1 answer:
katrin2010 [14]4 years ago
6 0
Greetings and Happy Holidays!

<span>1) Perpendicular to </span>-x+5y=14
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and \frac{-1}{5}

First, rearrange the equation into slope y-intercept form:
-x+5y=14

5y=x+14

\frac{5y}{5}=\frac{x+14}{5}

y=\frac{1}{5}x+\frac{14}{5}

The slope of the equation is: \frac{1}{5}

The negative reciprocal formula: (m_{1})(m_{2})=-1

Solve for the negative reciprocal: 
\frac{1}{5}m_{2}=-1

Divide both sides by \frac{1}{5}
\frac{\frac{1}{5}m_{2} }{ \frac{1}{5}} = \frac{-1}{ \frac{1}{5}}

m_{2}=(-1)(\frac{5}{1})

m_{2}=(\frac{-5}{1})

m_{2}=-5

The slope of the new line is: -5

2) Passes through (-5,-2)

Create
an equation with the slope discovered in slope y-intercept form.
y=-5x+b

Input
the point the line passes through.
(-2)=-5(-5)+b

Solve
for b (the y-intercept).
-2=-5(-5)+b

Multiply.
-2=25+b

Add
-25 to both sides.
(-2)+(-25)=b

-27=b

The y-intercept is equal to -27

The Equation of the line is:
y=-5x-27

I hope this helped!
-Benjamin
You might be interested in
ruth had a ribbon that was 9 yards long. she cut the ribbon into pieces that were 1/6 yard long. how many pieces of ribbon does
Ainat [17]

Answer:

54

Step-by-step explanation:

6            x       9         =         54

she can      there are

make 6       9 yards

ribbons

out of

a yard

4 0
3 years ago
is the diameter of a circle with center p. the coordinates of the endpoints of the diameter are (1, 3) and (6, 6). what are the
Rashid [163]
You need to find midpoint of the diameter. To find x coordinate you take (x1 + x2)/2 = (1+6)/2 = 7/2 And same thing for y. ( y1 + y2)/2 = (3+6)/2 = 9/2.
6 0
3 years ago
Alice was having a conversation
Akimi4 [234]
What's the question..???
4 0
3 years ago
What two numbers add to 2500
Arturiano [62]
1300 and 1200add up to 2500
8 0
3 years ago
Read 2 more answers
Help, please!!! Coordinate planes: find the distance. Thanks for helping!
ruslelena [56]

Answer:

The answer would be 11.3

Step-by-step explanation:

All you have to do is figure out how far one is from the other so from 7.8 I went back to 0 of course the Y coordinate stays the same. So then you get the -3.5 make it a positive so just 3.5 and then add to 7.8 to get 11.3

Hope this helped.

A brainliest is always appreciated.

6 0
3 years ago
Other questions:
  • the formula for area of a triangle is A=1/2bh, where A is the area, b is the length of the base of the triangle, and h is its he
    7·1 answer
  • 8.64 ÷ 2.25 = ??????
    7·1 answer
  • 10 times what equals215
    15·1 answer
  • Suppose the mean GPA of all students graduating from a particular university in 1975 was 2.40. The registrar plans to look at re
    9·1 answer
  • Computer Scored Unit Test
    7·1 answer
  • A. 159000<br> B. 23000<br> C. 54896<br> D. 12387
    8·2 answers
  • Can you help me solve the linear equation algebraically y=-x-3. y=-2x-8​
    14·2 answers
  • . If CD = 4 and the<br> perimeter of △ABC is 23,<br> what is the perimeter<br> of △ABE?
    8·1 answer
  • What is the answer -50 1/2+(-12.3) pls help
    10·2 answers
  • PLEASE HELP, URGENT!!!!<br> Find M
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!