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
nexus9112 [7]
3 years ago
14

What is the equation of the line (in slope-intercept form) that passes through the given point and is

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmmm what's the slope of the equation above anyway?

\bf x+y=6\implies y = \stackrel{\stackrel{m}{\downarrow }}{-1}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{\cfrac{1}{1}\implies 1}}

so we're really looking for the equation of a line whose slope is 1 and runs through (-5,-6).

\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-6})~\hspace{10em} \stackrel{slope}{m}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{1}[x-\stackrel{x_1}{(-5)}] \\\\\\ y+6=1(x+5)\implies y+6=x+5\implies y=x-1

You might be interested in
Petra jogs 5 miles in 40 minutes at the rate how long would it take her to jog 11 miles
KatRina [158]
88 minutes (1 hour and 28 mins)

Since 5 miles takes 40 minutes, multiplying both numbers by 2 gets you to 10 miles in 80 minutes. To get the extra 1 more miles you have to find the unit rate

5 miles in 40 minutes : divided both numbers by 5 to get
1 mile in 8 minutes
add the one mile in 8 minutes to the 10 miles in 80 mins and you get 11 miles in 88 minutes
6 0
3 years ago
Which one of the following items is an example of software
expeople1 [14]
Well in THAT case it would be C. because it is a PROGRAM, and PROGRAMS are softwares on computers ;)
5 0
3 years ago
Read 2 more answers
The square below represents a unit or a whole. What fraction is represented by the
Mkey [24]
20/28 or 10/14 or 5/7
You can keep reducing until both sides of the fraction can't be divided by the same number anymore.
5 0
2 years ago
Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50. She
patriot [66]

Answer:

1st option:  55 + 19.50m = 250

Step-by-step explanation:

7 0
3 years ago
Is 9/27 squared rational?
aniked [119]
Yes because it can be expressed as a fraction (9/27)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Leon read 5/7 of the pages in his book.He has 28 pages left to read.How many pages has he read already?
    9·1 answer
  • - In 12 minutes, Keyshawn read 50 pages.
    5·2 answers
  • What is the value of X?<br><br> 25<br> 10<br> 15<br> 20
    12·1 answer
  • Help help help help help
    14·2 answers
  • HELP ME PLEASE!!
    7·1 answer
  • Choose the correct expansions. Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers
    8·1 answer
  • Use substitution to solve this system of equations:<br> 5x+y=10,<br> y=x+4.
    7·1 answer
  • The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and
    11·1 answer
  • Use a real number to represent the situation.<br> The temperature falls 14°F.
    9·1 answer
  • QUESTION ON PIC THX!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!