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 equation of the following line? be sure to scroll down first to see all answer options
andreyandreev [35.5K]

Answer:

The equation for the following graph:

y = -\frac{1}{5}x

Step-by-step explanation:

- You first need to find the slope by using the <u>slope formula</u>:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

(where (x_{1},y_{1}) is the first point and (x_{2}, y_{2}) is the second point)

-Use the given points (0,0) and (10, -2) from the graph for the formula:

m = \frac{-2 - 0}{10 - 0}

Then, you solve:

m = \frac{-2 - 0}{10 - 0}

m = -\frac{1}{5}

After you have found the slope, use the slope -\frac{1}{5} and the first point (0,0) for the <u>point-slope formula:</u>

y - y_{1} = m ( x - x_{1})

<u>(</u>where m is the slope and (x_{1}, y_{1}) is the first point)

y - 0 = -\frac{1}{5}  ( x - 0)

Then, you solve:

y - 0 = -\frac{1}{5}  ( x - 0)

y - 0 = -\frac{1}{5}x - 0

y - 0 + 0 = -\frac{1}{5} - 0 + 0

y = -\frac{1}{5}x

So, the equation for the following graph is y = -\frac{1}{5}x .

7 0
3 years ago
Given h(x) = -X – 2, solve for x when h(x) = 3.
Naya [18.7K]
The answer should be h(3)= -5
6 0
3 years ago
Read 2 more answers
In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.
Roman55 [17]
In a race, a bicyclist travels 3/4 of a mile in 1/4 hour. Determine the unit rate for the speed in miles per hour.


5/2 miles per hour

(3/4÷1/4)=3 miles per hour☆☆☆☆☆☆☆

41/4 miles per hour

4 miles per hour
8 0
3 years ago
Multiple to list the next five multiples of 3
brilliants [131]

Answer:

6, 9, 12, 15, 18

Step-by-step explanation:

Finding multiples is simple, count by 3 for as many times as you can and there are your multiples.

7 0
3 years ago
Consider the two account balances.
MrRissso [65]

Answer:

B.

Step-by-step explanation:

i think its right

3 0
2 years ago
Other questions:
  • The distance travelled in (m) by a ball dropped from a height are 128/9,32/3,8,6,...
    12·1 answer
  • What is the constant proportionally of y=2.5x
    11·2 answers
  • Please help me with this
    7·1 answer
  • 10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi
    8·2 answers
  • I need help with number 7
    5·1 answer
  • Solve the equation using the distributive property and properties ofequally 1/2 (x+6)=18 what is the value of X
    11·1 answer
  • 17. Mary Palm's checking account had a starting balance of $785.63. She wrote a check for $57.00 for groceries and a check for $
    8·1 answer
  • 1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money th
    11·1 answer
  • Thankyousm!! please help me
    9·1 answer
  • (d) If the perimeter of a rectangle is 32, then the length is 13 and the width is 3.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!