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
makkiz [27]
3 years ago
11

Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2

/3(x-12)
Mathematics
1 answer:
sineoko [7]3 years ago
5 0

For this case we have that by definition, the standard form of a linear equation is given by:

ax + by = c

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

m_ {1} * m_ {2} = - 1

We have the following point-slope equation of a line:

y+4 = -\frac {2} {3}(x-12)

The slope is:

m_ {1} = - \frac {2} {3}

We find the slope m_ {2}of a perpendicular line:

m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}

Thus, the equation is of the form:

y-y_ {0} = \frac {3} {2} (x-x_ {0})

We have the point through which the line passes:

(x_ {0}, y_ {0}) :( 2, -3)

Thus, the equation is:

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

We manipulate algebraically:

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

We add 3 to both sides of the equation:

y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x

We multiply by 2 on both sides of the equation:

2(y + 6) = 3x\\2y + 12 = 3x

We subtract 3x on both sides:

2y-3x + 12 = 0

We subtract 12 from both sides:

2y-3x = -12

ANswer:

-3x + 2y = -12

You might be interested in
Anyone know this one
Alecsey [184]

Answer:

Only B

Step-by-step explanation:

Did this in Khan Academy.

=> Also, there are 2 '-' symbols in the question.

In Option A, there is only 1 "-' symbol.

In Option B, there are 2 '-' symbols.

Option C says none of the above.

Since, Option B has 2 '-' symbols, it is the correct.

5 0
3 years ago
What terms apply to angle Dea and angle aeb
harkovskaia [24]

Answer:

What is angle "Dea"

Step-by-step explanation:

And what is "aeb"

8 0
3 years ago
I need halp... QUESTION: tell weather the two figures are congruent. Explain your reasoning
Anastaziya [24]

number 3 is not congruent but number 4 is because #4 is basically the same thing but you cant really multiply something to question #3 to get those answers.

5 0
3 years ago
Read 2 more answers
Jon, Leroy, and Simon are having a free-throw shooting contest. Each boy
Zolol [24]

Answer:

B

Step-by-step explanation:

If you arrange a statistics in order from least to greatest, the middle number is the median.

If there is even number of numbers in a list, let it be n numbers, then we take the average of n/2th and n/2 + 1 th terms.

Here, all of them have 6 numbers, so 6/2 = 3  and 4th, we take average of 3rd and 4th number to find the median.

Since they are arrange in order we check each:

Jon = average of 6 and 7, (6+7)/2 = 6.5

Leroy = average of 6 and 8,  (6+8)/2 = 7

Simon = average of 5 and 6, (5+6)/2 = 5.5

Leroy's median is the greatest (7).

8 0
3 years ago
Read 2 more answers
90 - 15 x 12 divided 6 Plz help! I’ll give some points!
PilotLPTM [1.2K]
I believe it’s 900. Yeah, I think the answer is 900.
3 0
3 years ago
Read 2 more answers
Other questions:
  • the moon is about 240,00 miles from earth. what is this distance written as a whole number multiplied by a power of ten
    14·1 answer
  • it is 42 1/2 miles from eaton to baxter, and 37 4/5 miles from baxter to Wellington. how far is it from eaton to Wellington, if
    5·1 answer
  • 7 more than the product of a number and 4 is 51 what is the number? A.4 B.5 C.13 or D.11
    11·1 answer
  • Geometry Help Please!!
    9·2 answers
  • Please help me with this. Thank you. :)
    9·1 answer
  • Write the algebraic expression for “twice a number n decreased by seven”
    14·1 answer
  • Calculus Help Show that one function is not an antiderivative of another
    11·1 answer
  • #4 please help <br> Very confused on how to do this
    15·1 answer
  • Literal Equations:<br> Solve for g. <br> m + n^2 = g5Q
    5·1 answer
  • HELPPP!! NEED QUICK! WILL GIVE BRAINLEST!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!