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
Sidana [21]
2 years ago
13

the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k

Mathematics
1 answer:
Rzqust [24]2 years ago
6 0

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, x_1=-2, y_1=6, x_2=-8, y_2=k

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

m=\frac{y_2-y_1}{x_2-x_1}

Substitute   x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4} into the formula above

\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5

Therefore, the value of k is 1.5

Learn more here: brainly.com/question/25613656

You might be interested in
If the sum of a number and six is tripled, the result is eight less than twice the number. Find the number.
PSYCHO15rus [73]
3(x+6)=2x-8

x= -26

the answer is -26
7 0
3 years ago
In a certain month, Mason spent 1/6 of his salary in the first three days and $800 in the following ten days and after that he w
Nesterboy [21]
<h3>Answer:   $2400</h3>

========================================================

Explanation:

x = Mason's salary in dollars for that month

x/6 = one-sixth of his salary

x/6+800 = total amount spent (the x/6 dollars and $800 combined)

In total, he spent half his salary. This means he spent x/2 dollars for the month overall.

Set the two items equal to one another. Solve for x.

x/6 + 800 = x/2

6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page

x+4800 = 3x

4800 = 3x-x

4800 = 2x

2x = 4800

x = 4800/2

x = 2400

His monthly salary is $2400

1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.

-------

Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.

7 0
2 years ago
3. Damien paints 1/5 of a room in 5/12 hours what unit rate describes this situation
sdas [7]

Answer:

It takes 2 1/2 hours to paint each room.

7 0
3 years ago
Mr. Appleton has 6 science classes, and each class has 32 students. He wants to give an insect sticker to each student in his cl
Vladimir79 [104]

Answer:

Step-by-step explanation: 32 * 6 = 192

so he has not enough stickers

4 0
3 years ago
Plz help me with this integers
nexus9112 [7]
30 feet below see level is(-30)
A 15-yard gain(15)
500 feet above see level (500)
A los of 500 points (-500)
A deposit of 30 dollars (30)
A decrease of 15 degrees(-15)
4 0
3 years ago
Other questions:
  • Betty bought a package of meat that weighed 1.75 kilograms and another that weighed 1.54 kilograms how much meat did she buy alt
    6·1 answer
  • "Help Me Please Fast"
    6·1 answer
  • An electrical power plant burns 285 barrels of oil each day to
    13·1 answer
  • MATHS QUESTION <br> Any help for another maths questions I just don't get what to do thank you ❤
    10·1 answer
  • A ball is thrown and the path of the ball is represented by the equation y = -x2 + 7x + 7. What is the rate of change between x
    15·1 answer
  • Linda thinks of a two digit number. The sum of the digits is 8. If she reverses the digits, the new number is 36 greater than th
    8·2 answers
  • Consider a triangle with two sides that
    13·1 answer
  • Someone please explain how this in general form 2x – 3y – 7 = 0 is 2x - 3y + 10 = 0​
    11·1 answer
  • What does x equal? Type only the number.
    13·2 answers
  • 2. Pat is making flower bouquets. She has 12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!