1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zavuch27 [327]
3 years ago
14

What is the y-intercept of the equation 3y + 2x =-21?

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0

Answer: -7

Step-by-step explanation: To identify the y-intercept of the line, we would first convert the equation to slope-intercept form.

In slope-intercept form or y = mx + b form, the <em>y</em>

is by itself on the left side of the equation.

So our first task in this problem is to get <em>y</em> by itself on the left side of the equation and we do that by first subtracting 2x from both sides to get 3y = -2x - 21.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get <em>y</em> by itself we would

divide both sides by 3 to get y = -2/3x - 7.

Now our equation is written in slope-intercept form and

we can identity that the y-intercept of this line is -7.

kupik [55]3 years ago
4 0

In slope-intercept form, we can classify the following values.

m = slope

b = y-intercept

Turn the equation into slope-intercept form (y = mx + b).

3y + 2x = -21

~Subtract 2x to both sides

3y + 2x - 2x = -21 - 2x

~Simplify

3y = -21 - 2x

~Divide 3 to both sides

3y/3 = -21/3 - 2/3x

~Simplify

y = -7 - 2/3x

~Put into correct order

y = -2/3x - 7

So, the y-intercept is -7

Best of Luck!

You might be interested in
In order for students to have a club at school they need a minimum of 27 students. If there are 19
Rom4ik [11]

Answer:

A. The number of students that the club needs is at least (18).

Step-by-step explanation:

27 is the minimum requirement, so they need at <em>least</em><em> </em>18 people to meet said requirement. They can go over the limit.

The other answer comes into play if 27 was the <em>maximum</em><em> </em>that was allowed. Then they would need at most 18, because they can't admit any more people. They can't go over the limit.

8 0
3 years ago
Which ordered pair is a solution of the equation? y=-2x-5y
Allushta [10]

Answer:

if y = 5 than 2x - 5 = 5 we can simplify this too 2x = 10 ( by adding the 5 to both sides ) now we can simplify and get x = 5 ( by dividing by 2 ) so we get (5,5) as our first point. well since its in slope intercept form ( y = mx + b ) we can graph it.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
1 over 2 + 3 over 10 =?<br>​
lesya692 [45]

Answer:

0.8

Step-by-step explanation:

hope this helps

5 0
3 years ago
Read 2 more answers
A ray is a defined term because
Simora [160]
Because it can be described using two undefined terms, point and line.
4 0
3 years ago
(Don’t answer if you don’t know)
frosja888 [35]
The first graph is linear and the 2nd one is nonlinear
the first table goes for linear and the 2nd table goes for nonlinear :)
3 0
3 years ago
Other questions:
  • What is the slope of the line joining (-4,7) and (-5,0)?
    6·2 answers
  • The product of two consecutive even integers is 32 less than the square of the greater integer. Find the smaller integer.
    10·2 answers
  • How many wide receivers is there supposed to be on a football team?
    5·1 answer
  • Which of the follwing equations has a quotient with a remainder? Select the three that apply. A. 946/32 B. 1157/11 C.3524/44 D.3
    5·1 answer
  • Find the solutions to the system
    13·1 answer
  • A pair shoes is worth $50 but it’s markdown for 12% what’s the price
    15·1 answer
  • Solve for the variable. Show all work. 8(1 - x) + 36 = -2(4x + 24) + 95
    7·2 answers
  • Find the length of each leg. Leave answer in simplest radical form.
    15·1 answer
  • Josh attempted 56 free throws during the basketball season.
    9·2 answers
  • Write the expression as a power and evaluate it. 8*2^7
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!