All categories

3 years ago

What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

4x + 3y + 9 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

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

where $m$ is the slope of the line and

$(x_1, y_1)$ is the point passing through it.

Here, $m = \frac{-4}{3}$ and $(x_1 , y_1) = (3 , -7)$ .

Substituting in the formula $y + 7 = \frac{-4}{3} (x - 3)$

$\implies 3y + 21 = -4x + 12$

$4x + 3y + 9 = 0$

You might be interested in

John ran the 100-m dash with a time of 9.93 sec. If this pace could be maintained for an entire 26-mile marathon, what would his

slega [8]

You can infer from this problem that for every 100 m that John was able to run, it takes him 9.93 seconds. To get how much time is needed for 26 – mile marathon, you need to divide 26 miles by 100 meters. But first, you need to convert 26 miles to meters first.

1 mile = 1,609.34 meters

26 miles = 41,842.84 meters

41,824.84 meters / 100 meters = 418.43 x 9.93 seconds = 4,155 seconds or 69.25 minutes

4 0

3 years ago

(NO FILES OR LINKS OR RANDOM WORDS)

ehidna [41]

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

3 0

3 years ago

Find the equation of a line from the table:

rusak2 [61]

I don’t know but c i guess

5 0

3 years ago

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream.She rows downstream miles/hour faster th

disa [49]

Answer:

Option D. 9 mi/hr downstream, 6 mi/hr upstream

Step-by-step explanation:

The complete question is

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia’s rowing rate each way

Define the variables

Let

x -----> Alicia's rowing rate downstream in miles per hour

y ----> Alicia's rowing rate upstream in miles per hour

we know that

The rate is equal to the distance divided by the time

The time is equal to the distance divided by the rate

we have

$\frac{6}{x}=\frac{4}{y}$

$4x=6y$

$x=1.5y$ -----> equation A

$x=y+3$ ----> equation B

equate equation A and equation B

$1.5y=y+3$

$1.5y-y=3$

$0.5y=3$

$y=6$

Find the value of x

$x=1.5(6)=9$

therefore

Alicia's rowing rate downstream is 9 mi/h

Alicia's rowing rate upstream is 6 mi/h

6 0

4 years ago

How you do these problems

nevsk [136]

So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:

5 to 10

We would change this into:

$\frac{5}{10}$

Because the problem says to simplify, we can divide both sides by 5 and simplify it into:

$\frac{1}{2}$

If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.

If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!

6 0

3 years ago

Read 2 more answers