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2 years ago

What are the slope and y - intercept of the equation 6x+3y=-12

Mathematics

1 answer:

sertanlavr [38]2 years ago

4 0

Answer:

Slope= -2

y-intercept= -4

Step-by-step explanation:

To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.

$\textcolor{steelblue}{\text{Slope-intercept form}}$

y= mx +c, where m is the slope and c is the y-intercept

Given equation: 6x +3y= -12

Let's leave the y term on the left of the equation and bring the rest to the right.

3y= -6x -12

To ensure that the coefficient of y is 1, divide both sides by 3.

y= -2x -4

The equation is now in the slope-intercept form.

The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.

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The property of one permits you to multiply or divide the numerator and denominator of a fraction by the same number without cha

Alex777 [14]

There is not a property of "1" for addition, but the identity property in this case uses "0" instead. If a number is increased by 1, the value will necessary be increased or decreased by the amount added or subtracted. However, if the number either adds or subtracts zero, then value will be left unchanged. Examples: 3+1 = 4, but 3+0 = 3,

6 0

3 years ago

Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.

podryga [215]

Answer:

$35\ days$

Step-by-step explanation:

step 1

Find the area of the trapezoid (brownie pan)

$A=\frac{1}{2}(29+41)20=700\ cm^{2}$

step 2

To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie

$\frac{700}{20}=35\ days$

8 0

3 years ago

Inverse of f(x)=(4x-7)1÷3

stepan [7]

231234 is answer J K

7 0

3 years ago

Can someone please help with this math question:)

Bingel [31]

Solution:

The rationalisation factor for $\frac{1}{ a - \sqrt{b} }$ is $a + \sqrt{b}$

So, let us apply it here.

$\frac{1}{5 - \sqrt{2} }$

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

$= \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23}$

Answer:

$\frac{5 + \sqrt{2} }{23}$

Hope you could understand.

If you have any query, feel free to ask.

5 0

2 years ago

Read 2 more answers

If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a

ycow [4]

we know the length of the cable is 9m.
That means the magnitude of rAB=9m.
The unit vector, denoted u, is each of rAB divided by the magnitude.

u=(x/9i−y/9j−z/9k)

We can also figure out the unit vector of F.
u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723k

Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)

6 0

3 years ago