All categories

3 years ago

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3

Mathematics

1 answer:

crimeas [40]3 years ago

3 0

Answer:

The answer is

$\huge y = \frac{5}{3} x - 4$

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

$y - y_1 = m(x - x_1)\\$

where

m is the slope

( x1 , y1) is the point

From the question the point is (6,6) and slope 5/3

We have

$y - 6 = \frac{5}{3} (x - 6) \\ y - 6 = \frac{5}{3} x - 10 \\ y = \frac{5}{3} x - 10 + 6 \\$

We have the final answer as

$y = \frac{5}{3} x - 4 \\$

Hope this helps you

You might be interested in

If g=77cm and h=85cm what is the length of f

umka2103 [35]

The first thing you need to do is add and then subtract

5 0

3 years ago

19/92 written as a percentage

Solnce55 [7]

Answer:

20.65%

Step-by-step explanation:

$\frac{19}{92} \\ \\ = \frac{19 \times 100}{92} \% \\ \\ = \frac{1900}{92} \% \\ \\ = 20.6521739 \%\\ \\ = 20.65\%$

4 0

3 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

Please help wuth math 25 points

lesya692 [45]

The answer is A-(2,-1)

8 0

3 years ago

Helpppppo meeeeeeee pleaseeeeee

GuDViN [60]

Answer:

cumburger cumburger

5 0

3 years ago

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3￼

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3