Question

What's green and fluffy and comes from outer space? I have the answer I just need to know how to graph it

Answer 1

The correct answer is:

To graph each of these equations, we will find the x- and y-intercept of each. To find the x-intercept, we replace y with 0 and solve. To find the y-intercept, replace x with 0 and solve.

For 2x-4y=8:

x-intercept:

2x-4(0)=8; 2x-0=8; 2x=8; x=4

y-intercept:

2(0)-4y=8; 0-4y=8; -4y=8; y=-2

Plot these intercepts and draw a line between them.

For 2x+8y=-64:

x-intercept:

2x+8(0)=-64; 2x+0=-64; 2x=-64; x=-32

y-intercept:

2(0)+8y=-64; 0+8y=-64; 8y=-64; y=-8

Plot the intercepts and draw a line between them.

For -2x+4y=8:

x-intercept:

-2x+4(0)=8; -2x+0=8; -2x=8; x=-4

y-intercept:

-2(0)+4y=8; 0+4y=8; 4y=8; y=2

Plot the intercepts and draw a line between them.

For 3x+5y=-15:

x-intercept:

3x+5(0)=-15; 3x+0=-15; 3x=-15; x=-5

y-intercept:

3(0)+5y=-15; 0+5y=-15; 5y=-15; y=-3

Plot the intercepts and draw a line between them.

For 12x-3y=3:

x-intercept:

12x-3(0)=3; 12x-0=3; 12x=3; x=3/12=0.25

y-intercept:

12(0)-3y=3; 0-3y=3; -3y=3; y=-1

Plot the intercepts and draw a line between them.

For y=-8, draw a straight horizontal line at -8.

For x+3y=18:

x-intercept:

x+3(0)=18; x+0=18; x=18

0+3y=18; 3y=18; y=6

Plot the intercepts and draw a line between them.

For -4x+6y=-54:

x-intercept:

-4x+6(0)=-54; -4x+0=-54; -4x=-54; x=13.5

y-intercept:

-4(0)+6y=-54; 0+6y=-54; 6y=-54; y=-9

Plot the intercepts and draw a line between them.

For 4x-y=-8:

x-intercept:

4x-0=-8; 4x=-8; x=-2

y-intercept:

4(0)-y=-8; 0-y=-8; -y=-8; y=8

Plot the intercepts and draw a line between them.

For 2x-10y=20:

x-intercept:

2x-10(0)=20; 2x-0=20; 2x=20; x=10

y-intercept:

2(0)-10y=20; 0-10y=20; -10y=20; y=-2

Plot the intercepts and draw a line between them.

For 6x+9y=9:

x-intercept:

6x+9(0)=9; 6x+0=9; 6x=9; x=1.5

y-intercept:

6(0)+9y=9; 0+9y=9; 9y=9; y=1

Plot the intercepts and draw a line betwen them.

For 5x-2y=12:

x-intercept:

5x-2(0)=12; 5x-0=12; 5x=12; x=2.4

y-intercept:

5(0)-2y=12; 0-2y=12; -2y=12; y=-6

Plot the intercepts and draw a line between them.

For 8x+4y=40:

x-intercept:

8x+4(0)=40; 8x+0=40; 8x=40; x=5

y-intercept:

8(0)+4y=40; 0+4y=40; 4y=40; y=10

Plot the intercepts and draw a line between them.

For x+3y=27:

x-intercept:

x+3(0)=27; x+0=27; x=27

y-intercept:

0+3y=27; 3y=27; y=9

Plot the intercepts and draw a line between them.

Answer 2

What’s green and fluffy and comes from outer space?

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1 . 2x – 4y = 8

Rewriting the standard form linear equation into slope intercept form.

-4y = -2x + 8

Dividing both sides by -4.

y = (-2/-4)x + 8/-4

y = (1/2)x - 2

The best match is A and 23.

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2. 2x + 8y = - 64

Rewriting the standard form linear equation into slope intercept form.

8y = - 2x - 64

Dividing both sides by 8.

y = (-2/8)x - 64/8

y = -1/4 x - 8

The best match is N and 19.

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3. -2x + 4y = 8

Rewriting the standard form linear equation into slope intercept form.

4y = 2x + 8

Dividing both sides by 4

y = (2/4)x + 8/4

y = 1/2 x + 2

The best match is M and 4.

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4. 3x + 5y = -15

Rewriting the standard form linear equation into slope intercept form.

5y = - 3x - 15

Dividing both sides by 5.

y = (-3/5)x - 15/5

y = -3/5 x - 3

The best match is M and 15.

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5. 12x - 3y = 3

Rewriting the standard form linear equation into slope intercept form.

-3y = -12x + 3

Dividing both sides by -3.

y = -12/-3 x + 3/-3

y = 4x - 1

The best match is L and 16.

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6. y = - 8

In this case the slope is zero. Which means the rise is zero and run can be anything greater than 1. This will make a horizontal line parallel to the y-axis at the point (0 , -8).

The best match is L and 11.

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7. x + 3y = 18

Rewriting the standard form linear equation into slope intercept form.

3y = -x + 18

Dividing both sides by 3.

y = -1/3 x + 18/3

y = -1/3 x + 6

The best match is T and 2.

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8. -4x + 6y = -54

Rewriting the standard form linear equation into slope intercept form.

6y = - 4x - 54

Dividing both sides by 6.

y = -4/6 x - 54/6

y = -2/3 x - 9

The best match is I and 5.

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9. 4x - y = - 8

Rewriting the standard form linear equation into slope intercept form.

-y = - 4x - 8

Dividing both sides by -1.

y = -4/-1 x - 8/-1

y = 4 x + 8

The best match is B and 22.

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10. 2x - 10y = 20

Rewriting the standard form linear equation into slope intercept form.

-10y = -2x + 20

Dividing both sides by -10.

y = -2/-10 x + 20/-10

y = 1/5 x - 2

The best match is O and 24.

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11. 6x + 9y = 9

Rewriting the standard form linear equation into slope intercept form.

9y = -6x + 9

Dividing both sides by 9.

y = -6/9 x + 9/9

y = -2/3 x + 1

The best match is E and 7.

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12. 5x - 2y = 12

Rewriting the standard form linear equation into slope intercept form.

-2y = -5x + 12

Dividing both sides by -2.

y = -5/-2 x + 12/-2

y = 5/2 x - 6

The best match is A and 8.

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13. 8x + 4y = 40

Rewriting the standard form linear equation into slope intercept form.

4y = -8x + 40

Dividing both sides by 4.

y = -8/4 x + 40/4

y = -2 x + 10

The best match is A and 12.

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14. x + 3y = 27

Rewriting the standard form linear equation into slope intercept form.

3y = -x + 27

Dividing both sides by 3.

y = -1/3 x + 27/3

y = -1/3 x + 9

The best match is W and 2.

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ANSWERING TEXT :

A M A R T I A N M E L L O W

23 15 8 22 2 5 12 19 4 7 11 16 24 18

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