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
Solve: 15 = -(1/2)(-12x + 2)
notsponge [240]

your answer is: = 8/3  

                                                                                     

6 0
2 years ago
Find the surface area of the pyramid. The side lengths of the base are equal.
shtirl [24]
This is how to do it

7 0
1 year ago
Event A : stops on an even number
hram777 [196]

Answer:

2/3

Step-by-step explanation:

6 0
3 years ago
A test to detect an infection gives a positive result 98% of the time if a person is infected. It is 97% accurate for people who
Rama09 [41]
If the test gives a positive result for an infected person 98% of the time, that means that 2% of the time, it gives a negative result for an infected person, which would be a false negative.

If the test is 97% accurate for non-infected people, that means that it gives a negative result 97% of the time. So a positive result will be given 3% of the time for non-infected people, which is a false positive. 
6 0
2 years ago
If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).
jarptica [38.1K]
Hello : 
f'(7) = the slope of the tangent line : let  A(7,4)    B(0,3)<span>
<span>the slope is :   (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
 y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
4 0
2 years ago
Other questions:
  • 89,891 to the nearest ten thousands place
    6·2 answers
  • I need help asap plz I will mark branlist
    12·2 answers
  • Byron placed bricks in a row to make a border that was 16.9 feet long. Each brick is 1.3 feet long. How many bricks are in the b
    7·2 answers
  • Laws of sines: the ambiguous case. I need help solving 3,6&amp;9. Not sure what to do. Someone please help me
    8·1 answer
  • Libby wants to measure the length of a pond. She measured 13 yd from point X to point Z and 12 yd from point Y to point Z. What
    7·1 answer
  • Write 1,386 as the product of it prim fa
    6·1 answer
  • What is 1,296 divided by 36
    6·1 answer
  • 700,000+9,000+60+7 what is the standard form
    8·2 answers
  • Directions: write an exponential function for each situation then give the value of the function for the specified period of tim
    13·1 answer
  • Quickly please lol!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!