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
weeeeeb [17]
2 years ago
5

Find the slope and the y-intercept of the line. 6x + 3y = -3 Write your answers in simplest form​

Mathematics
1 answer:
4vir4ik [10]2 years ago
4 0

Answer:

[m] slope = <u>-2</u>

[b] y-intercept = <u>-1</u> ; (0, -1)

[y = mx + b] slope-intercept = -2x – 1

Step-by-step explanation:

Given the algebraic equation 6x + 3y = -3 currently in standard form:

Ax + By = C →

By = C – Ax →

By = -Ax + C →

y = -Ax / B + C / B →

y = (-A / B)x + (C / B) →

y = mx + b →

m = -A / B. b = C / B.

6x + 3y = -3

↓ ↓ ↓

A = 6. B = 3. C = -3.

[Substitute]

m = -A / B. b = C / B

m = -(6) / (3). b = (-3) / (3)

↓ ↓

m = -2. b = -1.

↓. ↓

Slope = -2. y-intercept = -1.

_______________________

Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.

The y-intercept is the point where x is 0.

The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.

This means that the y intercept in coordinate form is (0, b).

You might be interested in
Which of the following tables represents a quadratic function ? Explain how you know .
Aliun [14]
B, the first differences are not the same , that proves it is not linear. The second set of differences are the same this shows it is a quadratic function.

4 0
3 years ago
A line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is:
rewona [7]

A line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is called chord of circle.

Since,

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

So, we can say that every diameter of a circle is always called chord (longest chord) but every chord of the circle is not a diameter because the diameter passes to the circle's center but it not necessay that evey chord will pass through the center of the circle. Some, line segment goes from one side of the circle to the other side and doesn't pass through centre then for this case the line segment is called chord of the circle.

Hence, a line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is called chord of the circle.

Find out more information about chord of circle here:

brainly.com/question/1654080

#SPJ4

7 0
1 year ago
Drag the phases into the box to match the expression
Annette [7]
1- one half more than three fourths of a number
2- three fourths minus one half of a number
3- three fourths minus the sum of a number and one half
HOPE THIS HELPS!!
4 0
2 years ago
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form
Reptile [31]
Answer: y-8=-1(x+3)

the formula for pain-slope form is:

y-y_{1}=m(x- x_{1})

(where y_{1} =a known y coordinate & x_{1} =a known x coordinate.

Now just plug in the data...

y-8=-1(x--3)
y-8=-1(x+3)
5 0
3 years ago
Find the value of b.A. 14B. 15C. 64D. 289
Dafna11 [192]

9514 1404 393

Answer:

  B.  15

Step-by-step explanation:

From the second equation, ...

  b² = 17² -8²

  b = √(289 -64) = √225

  b = 15

8 0
3 years ago
Other questions:
  • What are two contributions to math that Leonardo Fibonacci made
    10·1 answer
  • Find the slope of the line that passes through the points  (2, 5) and (1, –4).
    6·1 answer
  • Which best explains why these figures are similar or not similar?
    9·1 answer
  • For waht value of the variable is 'x' 3 times less than the 45-10x
    9·1 answer
  • User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for e
    13·1 answer
  • Need help asap!!!!!!!!!!!
    12·1 answer
  • 11. Which of the following points is on the
    9·1 answer
  • Please help!!!??????
    9·2 answers
  • The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
    15·1 answer
  • What is the measure of angle x? . Enter your answer in the box <br> X=​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!