All categories

2 years ago

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics

2 answers:

DedPeter [7]2 years ago

5 0

Answer is y - 3 = 6 (x - 8) .

Brut [27]2 years ago

5 0

Answer:

y - 3 = 6(x - 8)

Step-by-step explanation:

The slope of a line which is the changes of the line along the Y and X axes through a point is given as m where

m = (y - y₁)/(x - x₁) where y ₁ and x₁ are the given points the line passes through.

Given that m = 6, (x₁,y₁) = (8,3)

Then,

6 = (y - 3)/(x - 8)

6(x - 8) = y - 3

Hence the right option is y - 3 = 6(x - 8)

You might be interested in

The length of a rectangle is 3ft more than twice the width, and the area of the rectangle is 54ft^2. Find the dimensions of the

777dan777 [17]

Answer: Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2 and x = -6

x = 4.5 and x = -6

We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?

ANTONII [103]

Answer:25.5m^3

Step-by-step explanation:

radius(r)=2.3m

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14x(2.3)^3

Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3

volume=(2x3.14x2.3x2.3x2.3) ➗ 3

Volume=76.40876 ➗ 3

Volume=25.5

3 0

3 years ago

The length of a pool table is 71 feet and the width is 36 feet. Find the area of the surface of the pool table by multiplying th

Zarrin [17]

Answer:

2556 feet squared

Step-by-step explanation:

Area is calculated by multiplying length times width. 71x36=2556

5 0

2 years ago

Use the distributive property to solve the equation 28 - (3x + 4) = 2(x + 6) + 5

Shalnov [3]

1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
4.)-6x=-12
5.)x=2

7 0

2 years ago

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

adelina 88 [10]

Answer:

a) "K" is proportional Constant K= 0.0833

b) The value of b = 99.639

Step-by-step explanation:

Explanation :-

Given 'a' is directly proportional to 'b'

a ∝ b

a = k b ....(i)

where "K" is proportional Constant

Case(i):-

when a =6 and b=72

a = k b

⇒ 6 = k (72)

⇒ $K = \frac{6}{72} = \frac{1}{12} = 0.0833$

Case(ii):-

Given a = 8.3

a = k b

⇒ 8.3 = 0.0833 ×b

⇒ $b = \frac{8.3}{0.0833} = 99.639$

Final answer:-

a)"K" is proportional Constant K= 0.0833

b) The value of b = 99.639

6 0

2 years ago