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
grin007 [14]
3 years ago
13

Line L has equation 2x - 3y = 5. Line M passes through the point (2, -10) and is perpendicular to line L. Determine the equation

for line M.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0

Answer:

Below

Step-by-step explanation:

The line L has the following equation:

● 2x - 3y = 5

Add -2x to both sides

● 2x - 3y -2x = 5 - 2x

● -3y = 5 - 2x

Multiply both sides by -1

● (-1) × -3y = (-1) × (5-2x)

● 3y = 2x - 5

Divide both sides by 3

● 3y/3 = (2x - 5)/3

● y = (2/3)x - 5/3

The line M is perpendicular to L

So the product of their slopes is -1

Let m be the slope of M

● m × (2/3) = -1

● m = -1 × (3/2)

● m = -3/2

So the equation of M is:

● y = (-3/2)x + b

b is the y-intercept

M passes through (2, -10)

Replace by the coordinates of this point

● -10 = (-3/2)×2 + b

● -10 = -3 + b

● b = -10 + 3

● b = -7

The equation of M is

● y = (-3/2)x -7

You might be interested in
Use formula I=prt to solve:
kvv77 [185]

Answer: $175.50

Step-by-step explanation: Since you are given the formula, your next step is to put your information into it.

I = PRT

I = 450 x .13 x 3

Now to solve for it:

I = $175.50

6 0
3 years ago
Brian has three basketball cards and five baseball cards what fraction of Brian‘s cards are baseball cards
Anon25 [30]

Answer:

5 / (3 + 5) = 5/8 are baseball cards

4 0
3 years ago
Read 2 more answers
A gym charges $90 as the membership fee and $25 monthly fee. For problems 14-16, use the explicit rule
Aliun [14]

Answer: i dont know

Step-by-step explanation:

4 0
2 years ago
In the expression 16x + 2x – 5y + 17, which terms are “like terms”?
Len [333]
The like terms are 16x and 2x
7 0
3 years ago
Read 2 more answers
|x+8| =−3<br> plz help!! show steps and stuuf
Mashcka [7]

Answer:

No solution

Step-by-step explanation:

since it equals a negative 3 in the original equation it cannot be solved

7 0
3 years ago
Read 2 more answers
Other questions:
  • 32 is the sum of a number z and 9
    6·2 answers
  • simi bought a study table for $9000 she sold it at a profit of 20 percent how much profit did she make? what is the selling pric
    11·1 answer
  • Operations with Complex Numbers<br>Simplify.<br>1) 1 + 6i<br>3) 3i + i<br>5) -1 – 8i- 4 - i​
    14·1 answer
  • Which is most responsible for recycling dead plants and animals in an ecosystem A.water
    9·2 answers
  • What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m? express you answer using pi
    11·1 answer
  • This is also due today , help me please n ty
    14·1 answer
  • Part A and B Please 10 points
    13·2 answers
  • N the sequence generated by the formula an = n – 4, which term has a value of 8?
    5·2 answers
  • For brainliest Rob is saving up to buy an mp3 player
    14·1 answer
  • A 47 inch piece of steel is cut into three pieces so that the second piece is twiceAs long as the first piece and the third piec
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!