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
tino4ka555 [31]
3 years ago
15

Work out m and c for the line: 3 y + 6 x = − 3

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u> </u><u>and</u><u> </u><u>c</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

Step-by-step explanation:

• Let's first phrase out the general equation of a line

{ \rm{y = mx + c}}

  • m is the slope
  • c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

{ \rm{3y + 6x =  - 3}}

• let's make y the subject in order to make the equation in slope - intercept format.

→ <em>r</em><em>e</em><em>m</em><em>e</em><em>m</em><em>b</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>a</em><em>p</em><em>p</em><em>l</em><em>y</em><em> </em><em>"</em><em>s</em><em>u</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>m</em><em>a</em><em>k</em><em>i</em><em>n</em><em>g</em><em> </em><em>k</em><em>n</em><em>o</em><em>w</em><em>l</em><em>e</em><em>d</em><em>g</em><em>e</em><em>"</em>

{ \rm{3y =  - 3 - 6x}} \\  \\ { \rm{3y =  - 6x - 3}} \\  \\ { \rm{ \frac{3y}{3}  =  \frac{ - 6x}{3}  -  \frac{3}{3} }} \\  \\  { \boxed{ \rm{y =  - 2x - 1}}}

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

{ \rm{m \:  \dashrightarrow \:  - 2}} \\  \\ { \rm{c \:  \dashrightarrow \:  - 1}}

You might be interested in
What is the equation, in point-slope form, of the line that has a slope of 6 and passes through the point (–1, –8)? a. y+8 = 6 (
Stolb23 [73]

Answer:

y + 8 = 6(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 6 and (a, b) = (- 1, - 8), hence

y - (- 8) = 6(x - (- 1)), that is

y + 8 = 6(x + 1)

8 0
3 years ago
Read 2 more answers
Simplify 4.51^0 - which is it?<br> 4.51 ?<br> 1 ?<br> 0 ?<br> -1 ?
koban [17]

Answer:

1

Step-by-step explanation:

{(4.51) }^{0}  = 1

hope this helps you.

5 0
3 years ago
Please answer the picture below!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Temka [501]

Surface area of the base = 4^2 = 16 units^2.

Area of each triangular side = 1/2 * 4 * 3 = 6 unts^2

Total surface area of the pyramid = 16 + 4 * 6 = 40 unit^2 (answer)

7 0
4 years ago
Read 2 more answers
A cylinder has a radius of 8 cm and a height of 14 cm.<br><br> What is the volume of the cylinder?
sdas [7]
The volume of a cylinder is represented by the following equation...

V=<span><span>πr^2 x </span><span>h
</span></span>
Volume = π(64)(14)

Your volume is 896π

6 0
3 years ago
The perimeter of a stop sign has a perimeter of 16x2 - 80x. What is the length of one side?
uranmaximum [27]
Since a stop sign is an octagon it has eight sides.  So the perimeter will be:

p=8x,  p=perimeter and x=side length.  We are told that the perimeter is equal to:

16x^2-80x so we can say:

16x^2-80x=8x subtract 8x from both sides

16x^2-88x=0  factor out 8x

8x(2x-11), since we know x>0

x=11/2

x=5.5 units
7 0
3 years ago
Other questions:
  • The cost to join a gym includes a one-time membership fee, plus a monthly fee. John joined the gym and paid $325 for 6 months.Ab
    14·1 answer
  • At the beginning of an experiment, there are 400 grams of contaminants. Each hour, three-fourths of the contaminants are filtere
    13·2 answers
  • you have 1 bag of candy that has 95 pieces of candy .how much is each piece of candy if the price of the bag of candy is 9.94 us
    7·1 answer
  • Please answer quickly!
    12·1 answer
  • Please help!! Geometry Question!
    12·2 answers
  • Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is
    5·1 answer
  • How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
    5·2 answers
  • Plsss help meee :)))
    11·2 answers
  • 5 in. 2 in. 3 in. What is the volume of the rectangular prism? O A. 10 in OB B. 16 in O C. 20 in O D. 25 in3 E. 30 in​
    15·1 answer
  • Find the area of the figure ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!