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
melamori03 [73]
3 years ago
8

What is a and b pls answer ASAP I need it !!! Plsss

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

You might be interested in
5. The expected weight must be greater or equal to 20 pounds but less than 32 pounds.
zhenek [66]

Answer:

put any number between 31 and 20 no higher or lower

6 0
2 years ago
The slope of the line that passes through the points (-7,5) and (8,-1) is wich of the following
krek1111 [17]

Answer:

-6/15

Step-by-step explanation:

y2-y1/x1-y1

-1-5/8+-7=-6/15

4 0
2 years ago
What is the length of the diagonal from P to Q?
boyakko [2]
You forgot to attach an image!
5 0
2 years ago
Read 2 more answers
AJ has 31 pennies and nickels. he has 67 cents. how many nickels does he have?
alisha [4.7K]

Answer:

9 nickels

Step-by-step explanation:

Set the number of pennies as x. The number of nickels would be 31 - x.

The pennies are worth x cents and the nickels are worth 5 * (31 - x), or 155-5x.

We are given that he has 67 cents, so:

x + 155 - 5x = 67

Solve.

-4x = 67 - 155 = -88

x = 22

Nickels are 31 - x, so the number of nickels he has is 9.

I hope this helps!

8 0
3 years ago
The scale on a map is 1 cm:60 km. How many kilometers are represented by 2.5 centimeters on the map
ELEN [110]
I cm      =    60 km

2.5 cm =    x km

60 * 2.5 = 150

2.5 cm = 150 km
4 0
3 years ago
Other questions:
  • I just want to see if my answer is correct, I haven't done volume in a long time!
    6·2 answers
  • What is the perimeter of the fifth square in this pattern?
    9·1 answer
  • I need help my grade depends on your answer!!
    15·1 answer
  • At president Lincoln's inauguration in 1861, the newspaper headlines. stated there were about 30,000 people in attendance. if th
    13·1 answer
  • PLEASE HELP RATES AND RATIOS
    7·1 answer
  • I need help with this question in math.
    12·2 answers
  • The height of a box is 5 inches. It’s length is 5 inches more than it’s width. Find the length if the volume is 120.
    15·1 answer
  • What is the perpendicular slope to 6/-3
    7·1 answer
  • Find the slope of the line passing through points -2, 2 and 2, 0
    7·2 answers
  • Does anyone know this one ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!