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Alex73 [517]
3 years ago
14

Write an equation in slope-intercept form of the line that passes through (6,-2) and (12,1)

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

y =\frac{1}{2}x-5

Step-by-step explanation:

Given points are:

(x1,y1) = (6,-2)

(x2,y2) = (12,1)

The slope intercept form is:

y=mx+b

We have to find the slope first

m =\frac{y_2-y_1}{x_2-x_1}\\=\frac{1-(-2)}{12-6}\\= \frac{1+2}{6}\\=\frac{3}{6}\\=\frac{1}{2}

Putting the value of slope

y = \frac{1}{2}x+b

To find the value of b, putting (12,1) in the equation

1 = \frac{1}{2}(12)+b\\1 = 6+b\\b = 1-6\\b=-5

Putting the values of m and b

y =\frac{1}{2}x-5

Hence,

Equation in slope-intercept form of the line that passes through (6,-2) and (12,1) is:

y =\frac{1}{2}x-5

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

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In an atom, electrons have a negative charge and protons have a positive charge. One negative and
Ostrovityanka [42]

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

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6 0
2 years ago
[Algebra 2] Find the quotient with the necessary restrictions.​
Tatiana [17]

Answer:

The correct answer is:   3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)²   This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) ·  15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0  =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4  This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0
3 years ago
The number name of 70080067 <br>In Indian System​
zloy xaker [14]

Answer:

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Step-by-step explanation:

70080067

Seven crore eighty thousands sixty-seven.

3 0
3 years ago
Pls help and explain
Minchanka [31]

Answer:

C

Step-by-step explanation:

The answer is going to be miles per quart.  So B is wrong.

12 gallons allows you to travel 192 miles

1 gallon permits 192 / 12 = 16 miles / gallon. (Must be a truck of some kind).

1 gallon permits 16 miles of driving.

4 quarts (in 1 gallon) permits 16 miles of driving.

1 quart gives 16/4 = 4 miles / quart.

The answer is C.

==========================

There is a slightly shorter way

12 gallons contains 12 * 4 quarts = 48 quarts.

48 quarts permit 192 miles

1 quart permits 192/48 = 4 miles

4miles / quart.

The answer is still C

7 0
2 years ago
You buy items totaling $135.82. The sales tax is 4%. You give the clerk three $50 bills. Figure the following amounts:
MrRa [10]

Answer:

a. $5.43

b. $141.25

c. $8.75

Step-by-step explanation:

First you find the total amount you it cost for all the items

$135.82 + 4% = $141.25

You give three $50 dollar bills

50 * 3 = 150

$150 is the amount you give

--------------------------------------

141.25 - 135.82 = 5.43

$5.43 is the amount of the sale price

---------------------------------------

To find the amount is cost for all the items you add the sales tax + the original price

$135.82 + 4% = $141.25

$141.25 is the amount including the tax

---------------------------------------

Subtract

150 - 141.25 = 8.75

So you will get $8.75 back

7 0
3 years ago
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