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Ainat [17]
3 years ago
7

Which equation describes a line with a slope of 1 and includes the point (1,2)

Mathematics
1 answer:
klemol [59]3 years ago
3 0
There are several different forms for the equation of a line. Point-Slope works pretty well for this one.

Remember, point-slope form looks like this: 

(y - y_{1}) = m(x -  x_{1})

Where the _1 means you sub in a point that matches that coordinate.
(x,y)

m, is the slope.

So an equation of the line would look like this: 
(y - 2) = 1(x - 1)

The times 1 slope is implied, so you could also write it as: 
(y - 2) = (x - 1) 

(Removing the parenthesis is also acceptable, in this case)

Let's say you were not given it in point slope form. Then let's take the point slope form we made and put it into the slope intercept form by solving for y.

y -2 = x - 1

Solve for y by adding 2 on both sides. 

y - 2 + 2 = x - 1 + 2 

y = x + 1

Once again the 1 slope is implied. So these are both acceptable forms. I hope this helps! 
You might be interested in
4462 mm² in m²
Varvara68 [4.7K]

Answer:

0.004462m²

612000m²

0.0482m²

Step-by-step explanation:

Using the conversion

1mm² = 10^-6m²

4462mm² = x

Cross multiply

1 * x = 4462 * 10^-6

x = 4462 * 10^-6

x = 4.462 * 10^3 * 10^-6

x = 4.462*10^{3-6}

x = 4.462*10^-3

x = 0.004462m²

Hence 4462 mm² in m² is 0.004462m²

0.612 km² in m²

1km² = 10^6m²

0.612km² = y

Cross multiply

1 * y = 0.612 * 10^6

y = 0.612*1,000,000

y = 612000m²

Hence 0.612 km² in m² is 612000m²

482 cm² in m²

1cm² = 0.0001m²

482 cm²  = z

z = 482 * 0.0001

z = 0.0482m²

Hence 482 cm² in m² is 0.0482m²

6 0
2 years ago
Need Assistance With This<br>*Please Show Work*​
artcher [175]

Answer:

a =7.5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10 ^2 = 12.5^2

a^2 + 100  =156.25

Subtract 100 from each side

a^2 = 56.25

Take the square root of each side

sqrt(a^2) = sqrt( 56.25)

a =7.5

3 0
3 years ago
What's the answer to -6&lt;21
Sphinxa [80]

Answer:

Step-by-step explanation:

There's no answer here. Because -6<21.

5 0
3 years ago
Geometry:
Eddi Din [679]

Answer:

<AEB = obtuse angle

<AED = straight angle

<BEA = obtuse angle

<BEC = straight angle

<CDE = not angle

<CEA = acute angle

<DEA = straight angle

<DEB = acute angle

<DEC = obtuse angle

Step-by-step explanation:

3 0
2 years ago
An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h
LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

\frac{11}{1+\sqrt{2} } = a^2

a² = \frac{11}{2.42}

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = 2(1+\sqrt{2} ) X (a)^2 X h

V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3

Therefore, the pool can hold 65.84 ft³ of water

8 0
3 years ago
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