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Vinil7 [7]
1 year ago
12

Find the equation of the line using exact numbers

Mathematics
1 answer:
Katen [24]1 year ago
6 0

Answer:

y = - \frac{1}{3} x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2-y_{1} } }{x_{2-x_{1} } }

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = \frac{4-5}{3-0} = \frac{-1}{3} = - \frac{1}{3}

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - \frac{1}{3} x + 5 ← equation of line

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Sales rise from £400 a week to £504 a week. Calculate a percentage increase
soldier1979 [14.2K]

Step-by-step explanation:

previous =£400

present=£504

percentage=(£504-£400)/£504*100

=104/£504*100

=20.63%

3 0
3 years ago
The third term in a geometric sequence is -81. The common ratio is 1/3
spin [16.1K]

Answer:

Step-by-step explanation:

A geometric sequence is a sequence in which the successive terms increase or decrease by a common ratio. The formula for the nth term of a geometric sequence is expressed as follows

Tn = ar^(n - 1)

Where

Tn represents the value of the nth term of the sequence

a represents the first term of the sequence.

n represents the number of terms.

From the information given,

r = 1/3

T3 = - 81

n = 3

Therefore,

- 81 = a× 1/3^(3 - 1)

-81 = a × (1/3)^2

-81 = a/9

a = -81 × 9 = - 729

The exponential equation for this sequence is written as

Tn = - 729 * (1/3)^(n-1)

7 0
3 years ago
Read 2 more answers
chris types 350 words in 4 minutes. Which equation can be used to find w, the number of words chris can type in 20 minutes if he
TiliK225 [7]

Answer:

Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.

Step-by-step explanation:

5 0
3 years ago
A line is drawn on a coordinate grid by the equation y = 4. Which of the following lines would represent a row parallel to it?
marissa [1.9K]

Answer:

y=0

Step-by-step explanation:

bc if you graph y=0 its parallel to y=4

6 0
3 years ago
Please help me with this math problem
Scilla [17]

Answer:

see below

Step-by-step explanation:

5x - 6y = 21

Let x = 0 and solve for y to find the y intercept

-6y = 21

Divide by -6

y = 21/-6 = -7/2

The y intercept is (0,-7/2)

5x - 6y = 21

Let y = 0 and solve for x to find the x intercept

5x = 21

Divide by 5

y = 21/5 = 21/5

The x intercept is (21/5,0)

5 0
4 years ago
Read 2 more answers
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