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
s344n2d4d5 [400]
3 years ago
11

Graph 3x + 2y = 6. Can someone help with this

Mathematics
2 answers:
Tasya [4]3 years ago
8 0

Here are two ways to graph it.  You can decide which one seems easier to understand or easier to do:

==>  Manipulate the equation into the "slope-intercept" form, where 'y' is
all alone on one side and everything else is on the other side:

3x + 2y = 6

Subtract  3x  from each side:   2y = -3x + 6

Divide each side by  2 :            y = <em>-3/2</em> x <em>+</em> <em>3</em>

This is the form you want.  Just looking at it, it tells you that the slope
of the line on the graph is (<em>-3/2</em>), and it crosses the y-axis at  <em>+3</em> .
That's enough information to draw the line.
===============================================

=>  Another way:

Look at the x-axis and the y-axis on the graph paper ... without any graph drawn on it yet.  Just look at the 2 axes.

With an 'x'-number and a 'y'-number, you can find any point on it. Right ?

OK.  Notice that at every point on the y-axis, x = 0 .  And at every point
on the x-axis, y = 0.  This can be very very helpful.

Now take your equation:    <u>3x + 2y = 6 .</u>

You know that the graph is going to be a straight line.  And it's pretty obvious that if the line isn't horizontal or vertical, then it has to cross both the x-axis and the y-axis somewhere.  If you had an easy way to find the two points where it crosses the axes, you could join those 2 points and you'd have your line !

You DO have an easy way to find those points !

If x=0, then the point is on the y-axis.  Take your equation, make x=0, and it'll show you where the line crosses the y-axis:

                         3(0) + 2y = 6 .

                                    2y = 6 .

Divide each side by 2 :  y = 3 .

There's one point on the line:  (0, 3)

Now remember that if y=0 the point is on the x-axis.  So take your equation
and make y=0:

                                      3x + 2(0) = 6

                                      3x          = 6

Divide each side by 3 :    x = 2 

There's another point on the line, where it crosses the x-axis:  (2, 0) .

Shazam !  You have the 2 points where the line crosses the x- and
y- axes.  Mark each one with a little dot,  put your ruler down along
them, draw a line between them, and extend it as far in each direction
as you want to.  That's the graph of your equation.


WARRIOR [948]3 years ago
3 0
Plot these coordinates then draw a line through them and that is the line.

(2,0) x intercept
(0,3) y intercept
You might be interested in
What is 9/16 as a percent? What is it rounded to the nearest hundredth
Elena-2011 [213]

9/16 = 0.5625

Rounded Equals 0.5630

7 0
3 years ago
The selling price of a skateboard is $147. The store has a 75% markup policy. What is the cost of the skateboard to the store?
Maru [420]
The answer is $84.00
5 0
3 years ago
Read 2 more answers
If you can, answer this please! Thank u!!!
Sladkaya [172]

Answer:

G

Step-by-step explanation:

LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T

3 0
3 years ago
-2x+6=28 and -18=-3x+6
Arte-miy333 [17]

Answer:

1. x=-11

2.  x=8

Step-by-step explanation:

-2x+6=28

Subtract 6 from each side

-2x+6-6 = 28-6

-2x = 22

Divide by -2

-2x/-2 = 22/-2

x = -11


-18=-3x+6

Subtract 6 from each side

-18 -6 = -3x +6-6

-24 = -3x

Divide by -3

-24/-3 = -3x/-3

8 =x

6 0
3 years ago
In the triangle given triangle ABC ,angle A is 90 degrees and segment AD is perpendicular to segment BC which of these could be
oksian1 [2.3K]

Answer:

Flag the person above ^

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Daisy's flower shop sold 135,649 flowers during its first year. The second year, the shop sold 9,754 more flowers than it did it
    11·2 answers
  • 58.7 is what percent of 1,000
    12·2 answers
  • Jana has a rectangular sheet of cardboard that measures 10 inches by 18 inches. what is the maximum number of 3*3 inch squares t
    9·1 answer
  • Find the inverse or opposite of (2n-8)
    13·1 answer
  • What are all of the factors pair’s of 24
    6·1 answer
  • Which of the following best represents a change in elevation of 0 feet?
    12·1 answer
  • 2x + 3y = 15<br> x + y = 6
    11·1 answer
  • A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
    7·1 answer
  • Divide 5÷1/4 Thank you.
    12·2 answers
  • Solve for x <br> 2 3/4 x = 11 11/12
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!