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3 years ago

What is the slope of 3x+6y+12=0

Mathematics

2 answers:

KonstantinChe [14]3 years ago

7 0

Answer:

slope = - $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 6y + 12 = 0 into this form

Subtract 3x + 12 from both sides

6y = - 3x - 12 ( divide all terms by 6 )

y = - $\frac{1}{2}$ x - 2 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Law Incorporation [45]3 years ago

6 0

Answer:

$\large\boxed{m=-\dfrac{1}{2}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have the equation in general form

$Ax+By+C=0$

Convert it to the slope-intercept form:

$3x+6y+12=0$ subtract 6y from both sides

$3x+12=-6y$ divide both sides by (-6)

$y=\dfrac{3}{-6}x+\dfrac{12}{-6}$

$y=-\dfrac{1}{2}x-2$

Therefore the slope

$m=-\dfrac{1}{2}$

Other method.

If we have the equation of lines in the general form Ax + By + C = 0 or the standard form Ax + By = C, then the slope is equal to:

$m=\dfrac{-A}{B}$

We have

$3x+6y+12=0\to A=3,\ B=6$

Substitute:

$m=\dfrac{-3}{6}=-\dfrac{1}{2}$

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Answer:

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3 years ago

Jika garis 4x+ay = 8 dan ay=9x + 5 saling tegak lurus,maka nilai a

barxatty [35]

We are given equations as

$4x+ay=8$

Firstly, we will write in slope intercept form of line

y=mx+b

$4x+ay=8$

Subtract both sides by 4x

$4x+ay-4x=-4x+8$

$ay=-4x+8$

now, we can divide both sides by a

$y=-\frac{4}{a} x+\frac{8}{a}$

we can find slope

so, we get

$m_1=-\frac{4}{a}$

we are given second equation as

$ay=9x+5$

Firstly, we will write in slope intercept form of line

y=mx+b

divide both sides by a

$y=\frac{9}{a} +\frac{5}{a}$

we can find slope

$m_2=\frac{9}{a}$

we are given both lines are perpendicular

so, the multiplication of their slopes must be -1

$m_1\times m_2=-1$

we can plug values

$-\frac{4}{a}\times \frac{9}{a}=-1$

now, we can solve for a

$\frac{36}{a^2}=-1$

Multiply both sides by a

$\frac{36}{a^2}\times a^2=1\times a^2$

$36= a^2$

now, we can solve for a

we get

$a=-6,a=6$ ...............Answer

4 0

3 years ago

X + Y = 3,500 X - Y = 2,342

LUCKY_DIMON [66]

X + y = 3500 -------------- (1)
x - y = 2342 --------------- (2)

(1) + (2):
2x = 5842
x = 2921 -------------- Sub into (1)
x+ y = 3500
2921 + y = 3500
y = 3500 - 2921
y = 579

----------------------------------------------
Answer: x = 2921, y = 579
----------------------------------------------

8 0

3 years ago

Each blank should be filled with a single whole number greater than 1. factor: 900 - 1 = ( )( )

Sati [7]

Answer:

900 - 1= (31)(29)

Step-by-step explanation:

We need to factor 900 -1

We write each number in square form

900 can be written as 30^2

1 can be written as 1^2

$900 - 1= 30^2 - 1^2$

Now we apply difference of square formula

a^2 - b^2 = (a+b)(a-b)

$30^2 - 1^2=(30+1)(30-1)$

So 900 - 1= (31)(29)

6 0

3 years ago

Read 2 more answers

5/√2+9/√8-2√50+√32 rationalise the denominator and simplify

Alik [6]

Answer: $\displaystyle\ \Large \boldsymbol{ -\frac{5\cdot \sqrt{2} }{4}}$

Step-by-step explanation: $\displaystyle\ \Large \boldsymbol{} \frac{5}{\!\!\sqrt{2} } +\frac{9}{\!\!\sqrt{8} } -2\sqrt{50} +\sqrt{32} =\frac{1}{\!\!\sqrt{2} } \bigg(5+\frac{9}{\sqrt{4} } \bigg)+\sqrt{2} (\sqrt{16} -2\sqrt{25} ) \\\\\\\\\frac{1}{\sqrt{2} } (5+4,5)+\sqrt{2} (4-10)=\frac{9,5}{\sqrt{2} } -6\sqrt{2} =\frac{9,5-12}{\sqrt{2} } = \\\\\\-\frac{5\cdot \sqrt{2} }{4}$

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3 years ago

What is the slope of 3x+6y+12=0​

What is the slope of 3x+6y+12=0