All categories

3 years ago

A line with a slope of -2 passes thru the point (4,7)

Mathematics

1 answer:

Tpy6a [65]3 years ago

6 0

Answer:

y - 7 = -2(x - 4)

Step-by-step explanation:

We are asked to write the equation of a line in point slope form

Step 1 : find slope

We are given the slope to be -2

Slope m = -2

Step 2: substitute m into point slope form

y - y_1 = m( x - x_1)

y - y_1 = -2 ( x - x _1)

Step 3: substitute the point into the equation

y - y_1 = -2( x - x _1)

( 4 , 7)

x_1 = 4

y_1 = 7

y - 7 = -2( x - 4)

We don't need to open the bracket because we are asked to write the equation in a point slope form

You might be interested in

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th

OlgaM077 [116]

Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. Calculate the mean

$\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666$

Second step. Calculate the standard deviation

$\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}$

$\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}$

$\sigma=\sqrt{17.815}=4.22$

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

$\bar X \pm t\frac{\sigma}{\sqrt n}$

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

6 0

3 years ago

—5 + 3x + 2 = 12 Solve for x

klio [65]

Answer:

x=5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Write and solve a proportion to answer the question. 3/4 is 60% of what number?

Ganezh [65]

3/4 equals .75, and 60% equals .60. Therefore, we can set up an equation. .75=.60x, where x is the number we are looking for.

Divide each side by .60 to get the variable by itself. .75/.60= 1.25.

Hope this helped!!! :)

6 0

3 years ago

Which is greater number seven

zhuklara [117]

74% is greater than 11/15

6 0

3 years ago

Read 2 more answers

261,256,251 find the 50th term

marshall27 [118]

Answer:

$a_{50}=16$

Step-by-step explanation:

Given that,

An airthmetic sequence,

261,256,251

We need to find the 50th term.

We have,

first term, a = 261

common difference = 256-261 = -5

The nth term of the AP is given by :

$a_n=a+(n-1)d\\\\a_{50}=a+49d\\\\a_{50}=261+49(-5)\\\\a_{50}=16$

So, the 50th term of the sequence is 16.

7 0

3 years ago