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
Katena32 [7]
2 years ago
8

The line passing through (-2,5) and (2,p) has a gradient of -1/2. Fnd the value of p

Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Given:

The line passing through (-2,5) and (2,p) has a gradient of -\dfrac{1}{2}.

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

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

The line passing through (-2,5) and (2,p). So, the slope of the line is:

m=\dfrac{p-5}{2-(-2)}

m=\dfrac{p-5}{2+2}

m=\dfrac{p-5}{4}

It is given that the gradient or slope of the line is -\dfrac{1}{2}.

\dfrac{p-5}{4}=-\dfrac{1}{2}

On cross multiplication, we get

2(p-5)=-4(1)

2p-10=-4

2p=-4+10

2p=6

Divide both sides by 2.

p=3

Therefore, the value of p is 3.

You might be interested in
Which of the following functions <br> best describes the graph
a_sh-v [17]

Hi ! Does the question include an image?

6 0
2 years ago
Read 2 more answers
What is are if a rectangle of length of 5 and width of 3x-5y+6What is the area of a rectangle with a length of 5 and a width of
lawyer [7]

The area of rectangle is 15x - 25y + 30 sqaure units

<em><u>Solution:</u></em>

Given that, a rectangle with a length of 5 and a width of 3x - 5y + 6

To find: Area of rectangle

<em><u>The area of rectangle is given by formula:</u></em>

Area = length \times width

From given,

Length = 5

Width = 3x - 5y + 6

<em><u>Substituting the values in formula, we get,</u></em>

Area = 5 \times (3x - 5y + 6)\\\\\text{Multiply 5 with each term inside the bracket }\\\\Area = 5(3x) -(5)(5y) +5(6)\\\\\text{Simplify the above expression }\\\\Area = 15x -25y + 30

Thus area of rectangle is 15x - 25y + 30 sqaure units

6 0
3 years ago
Compare the values of the two 8s in the number 467,882
Ludmilka [50]
The 8 in position  4 (from the left)  means  800 and the  5th 8 means 80

so position 4   8 is ten times the  the next 8. - as you would expect because its the decimal system based on  10.

difference = 800-80 = 720.
7 0
3 years ago
Do it right plss I need good grades
Alborosie

Answer:its yhe one on the right

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Stans bank account balance is less than -$20.00 but more than -$21.00 what could stans account balance be
dsp73
Stan's account is -$20.50.
5 0
2 years ago
Other questions:
  • jasmine answered 19 out of 25 questions correctly on a quiz. about what percent of her answers were correct?
    6·1 answer
  • Which numbers round to 3,100 when rounded to the nearest hundred
    13·1 answer
  • How many solutions does the following equation have? 4x+x+3=4x *
    13·1 answer
  • 5=-1(4)x+b<br> I need the help pleasee and thank youu!!
    14·1 answer
  • DUE TODAY!!! <br> PLEASE HELP ME OUT!!!
    15·1 answer
  • Please help asap! Will give brainliest! Please answer correctly!<br> No guessing!
    12·2 answers
  • Complete the proof in picture
    11·1 answer
  • Please help help help help help please ASAP
    9·1 answer
  • I'm having trouble figuring out how I could go about this. Can someone work it out then explain so that I know how to do this ne
    7·1 answer
  • Brainliest <br> Please do one of the above<br> (I would appreciate if you did more then one)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!