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Agata [3.3K]
2 years ago
15

Write the equation x + 3y = -4 in slope-intercept form, and then find the slope and y-intercept.

Mathematics
1 answer:
katrin2010 [14]2 years ago
4 0

<u>Answer with step by step explanation</u>

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

<u>Let us find now.</u>

x + 3y = -4

3y = -4 - x

3y = -x - 4

<em>Divide the whole equation by 3.</em>

y = -x/3 - 4/3

Therefore, <u>the equation of the line</u> is:

<u> y = -x/3 - 4/3</u>

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

<u>Let us find now.</u>

y = m x + c

y = <u>-x/3</u> <u> - 4/3</u>

Now it is clear that, <u>-1/3 & -4/3 are replaced with m & c</u> respectively.

Therefore,

slope ⇒<u> -1/3</u>

y - intercept ⇒<u> -4/3</u>

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Answer:

B

Step-by-step explanation:

The ratio of the larger figure to the smaller figure is simplfying 30/12 to 5/2

Honest the 7/4 is just an educated guess because...yeah

8 0
3 years ago
A 6-pound bag of birdseeds cost $4.92. What is the unit price?
Sergeu [11.5K]
I think you would have to multiply $4.92 and 6... if so the answer would be $29.52 for the unit price.
7 0
3 years ago
Dora buys one package each of 1lb 2 lb and 4 lb packages of ground beef to make hamburgers. How many 1/4 lb hamburgers can she m
Katarina [22]
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4 0
3 years ago
15x-7=2+12x I need help with this
Amanda [17]

Answer:

\huge{ \boxed{ \bold{ \tt{x = 3}}}}

<h3>♁ Question : Solve for x</h3>
  • 15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>
  • \text{15x - 7 = 2 + 12x}

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛\sf{15x - 12x - 7 = 2}

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛\sf{15x - 12x = 2 + 7}

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛\sf{3x = 2 + 7}

Add the numbers : 2 and 7

➛\sf{3x = 9}

Divide both sides by 3

➛ \sf{ \frac{3x}{3}  =  \frac{9}{3}}

➛ \boxed{ \bold{ \sf{x = 3}}}

The value of x is \boxed{ \sf{3}}

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

\sf{15x - 7 = 2 + 12x}

\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}

\dashrightarrow{ \sf{45 - 7 = 2 + 36}}

\dashrightarrow{ \sf{38 = 38}}

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>
  • If an equation contains fractions ,multiply each term by the L.C.M of denominators.
  • Remove the brackets , if any.
  • Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0
2 years ago
If the circumference of a circle is 14 what is the radius and the diameter
statuscvo [17]

Answer:

r = 2.23

Step-by-step explanation:

Use the formula:

C = 2(pi)r

Solve for r:

r = C /2π = 14 /2·π = 2.228

8 0
3 years ago
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