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Semenov [28]
2 years ago
6

What’s the standard form of the line that passes through (7,-3) and has a y-intercept of 2?

Mathematics
2 answers:
Amiraneli [1.4K]2 years ago
8 0
First, let's solve in slope-intercept form since it's easier. After that, we can turn it into standard form.

Recall the format of slope-intercept form: y = mx + b

We know that the y-intercept is 2, so we can input it into our equation ('b' represents the y-intercept!)

y = mx + 2
In order to solve for the slope, input the coordinates (7, -3)

-3 = 7m + 2
-5 = 7m
m = -5/7

y = -5x/7+ 2
In order to turn it into standard form, just make sure 'x' and 'y' are on the same side:

y + 5x/7 = 2 is the standard form of the line

-T.B.
777dan777 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

(y-y)=m(x-x)

(y--3)=2(x-7)

y+3=2x-14

y+3+14=2x

You might be interested in
The bottom of a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters. What are the dimensions
AysviL [449]

The  dimensions of the pool is 15m by10m

<h3>Area and perimeter of rectangle</h3>

A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;

lw = 150

2(l+w) = 50

l + w = 25

where

l is the length

w is the width

From the equation 3

l = 25 - w

Substitute into 1

(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0

Factor

w(w-10)-15(w-10) = 0

w = 10 and 15

l = 150/10 = 15

Hence the  dimensions of the pool is 15m by10m

Learn more on dimension here: brainly.com/question/26740257

#SPJ1

7 0
1 year ago
Find A and B
mash [69]
Thank you sa points lab you
5 0
3 years ago
Find the least common factor denominator for these two rational 7/x^2 and 7/5x
MAVERICK [17]
X^2 and 5x both have x in common to factor out. To add or subtract them, 5x^2 is the least common denominator .
4 0
3 years ago
Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5​
max2010maxim [7]

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

\frac{19}{5}=3\frac{4}{5}=3.80

We know that \frac{1}{5} is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\  -0.5=-0.5

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

3.80>1.62>-0.5>-4.666

We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.

Final Answer

After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:

\frac{19}{5}>1.62>-0.5>\frac{-14}{3}

Cheers!

6 0
2 years ago
You need about 1 1/2 hours to set up a computer workstation. At this rate, how many hours should it take you to set up 7 of thes
Serhud [2]

Answer:

You would need 10 1/2 hours to set up 7 workstations.

Step-by-step explanation:

Multiply the amount of workstations by the rate at which they are set up.

7 * 1.5 = 10.5

6 0
3 years ago
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