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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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.
