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
Dimas [21]
3 years ago
11

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y= 2/3x + 9; (–6,

5)
Mathematics
1 answer:
kow [346]3 years ago
8 0
Hi!

The equation y = 2/3x + 9 is written in slope intercept, or y = mx + b. The m is the slope, and the b is the y intercept.

When a line is perpendicular to another, it meets it at a 90 degree angle. The slope of the line which is perpendicular to one with a given slope is the negative reciprocal of it, for example, if you had a line with slope 1/2, the slope of the line perpendicular to it would be -2.

So for this line, the negative reciprocal of 2/3 is -3/2. You now have one of the slots of the equation filled in, giving you:

y = -3/2x + b

Now, you just need to find b, as slope intercept leaves x and y as variables. Luckily, you are given a point that lays on the line; (-6, 5).

So to solve for b, you can substitute that point in, using -6 as x and 5 as y. That gives you:

5 = -3/2 (-6) + b

Now, just solve for b.

5 = -3/2 (-6) + b
5 = 9 + b
b = -4

And there's your solution for b, which you can fill in, giving you your final answer of:

y = -3/2x - 4
You might be interested in
Find the product (x-y)(6x+4y)
Mazyrski [523]
The product means you multiply, so:
-y × 6x = -6xy
-y × 4y = -4y²

x × 6x = 6x²
x × 4y = 4xy


= -2xy - 4y² + 6x

I hope this helps!
7 0
3 years ago
Translate this phrase into an algebraic expression.<br> The sum of 26 and twice a number
nevsk [136]

Answer:

Step-by-step explanation:

26×N

4 0
3 years ago
Help me with my homework please​
Paladinen [302]

Answer:angle 1=90 angle 2=45 angle 3=45

Step-by-step explanation:

7 0
2 years ago
5% times x equals 21 what is the vaule of x
Marysya12 [62]
5% time 420 equals 21
8 0
3 years ago
What’s the answer to this problem?
posledela

In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.

120=158.36

158.36-20=138.36

138.36=104.87

=104.87

Therefore your answer is "104.87."

Hope this helps.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find an expression for the number of squares in the nth pattern of the sequence. I noticed that the number of squares you add in
    8·1 answer
  • 6 sisters share 5 pizzas equally
    10·1 answer
  • How do you solve this question
    13·1 answer
  • City R has a temperature of -2 degrees. City S has a temperature of -6 degrees. Write an inequality to compare the temperatures
    12·1 answer
  • A dinner platter is in the shape of a regular decagon. The platter has an area of 161 square inches and a side length of 4.6 inc
    8·1 answer
  • 10 boys share 7 bars equally.What fraction of a bar does each boy get?
    9·2 answers
  • Henry is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 54 feet and its width is
    5·1 answer
  • Help I need an answer as soon as possible
    10·1 answer
  • Needing help ASAP please
    15·2 answers
  • Please help. I don’t understand. Will give Brainly. Thank you!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!