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
babunello [35]
3 years ago
13

Line j goes through the point (-7, 5) and is perpendicular to 2x – 3y = -18. Find the equation of line j.

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

3x + 2y = 31  

Step-by-step explanation:

Solve the given equation for y to determine the slope of this line:

-3y = -2x = -18, so that y = (2/3)x + 6.

Therefore, a line perpendicular to the given line has the slope -3/2, which is the negative reciprocal of this 2/3.

Using the slope-intercept formula y = mx + b and inserting the knowns (slope = m = -3/2, y = 5 and x = -7), we obtain:

5 = (3/2)(-7) + b, or (after multiplying all terms by 2):

10 = -21 + 2b, or 2b = 31, or b = 31/2.

Then the equation is y = (-3/2)x + 31/2.

Let's put this into standard form.  Multiply all terms by 2, obtaining:

2y = -3x + 31, or

3x + 2y = 31    This is the equation of the perpendicular line in question.

You might be interested in
What is the percent of increase from 40.6 to 81.2?
crimeas [40]

Answer:

50?

Step-by-step explanation:

Pls, choose me as brainliest!

If I'm right, if not don't pick me

6 0
2 years ago
The following lines are parallel.<br> 4x + 2y = 8 and y = 2x + 4<br> True<br> False
Alenkasestr [34]
I believe the answer is True ! Hope this helps you
5 0
3 years ago
Read 2 more answers
Consider the following equation. x+4/x-6 +3/2x+5=7. What are the constraints on x?
TiliK225 [7]
X cannot be 6 or -2/5  because if they were the denominator would be zero
6 0
3 years ago
Solve.<br> <img src="https://tex.z-dn.net/?f=2%205%2F6%20%2B%20%28-1%204%2F12%29%20%3D" id="TexFormula1" title="2 5/6 + (-1 4/12
Vladimir79 [104]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Is three quarters of earths water salt water?
aivan3 [116]
The Earth is a watery place. But just how much water exists on, in, and above our planet? About 71 percent of the Earth's surface is water-covered, and the oceans<span> hold about 96.5 percent of all Earth's water. Water also exists in the air as </span>water vapor<span>, in </span>rivers<span> and </span>lakes<span>, in icecaps and </span>glaciers<span>, in the ground as soil moisture and in </span>aquifers<span>, and even in you and your dog.</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 7/9 as a decimal terminating or repeating decimal
    9·1 answer
  • What fraction of 1 litre is 50ml
    11·1 answer
  • In Australia 74% of the land cannot support agriculture. Write this percentage as a fraction in simplest form.
    13·2 answers
  • Tell whether 948 can be divided evenly<br> (is divisible) by 4.
    13·2 answers
  • Find the area of a circle using 3.14 as pie <br> d=8cm
    7·2 answers
  • Is the situation a function?
    6·2 answers
  • I will mark you as most Brillance if you help me get this right!
    11·1 answer
  • Is my answer correct?
    5·1 answer
  • A quadratic function is shown.
    13·1 answer
  • Urgent!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!