okay ive tried to figure this out but its too hard help please!
Which point lies ont the line defined by 3x+6y=2?
the correct answer is [1, - 1/6]
but how do u solve it??????
PLEASE HELPPP
2007-04-23 16:57:19 · 9 answers · asked by && hOw dO i sAy i lUv u ♥ 2 in Science & Mathematics ➔ Mathematics
Im in algebra and its sooo flippin hard lol im only in 8th grade lol
2007-04-23 17:01:18 · update #1
Substitute 1 for the x in the equation
Substitute -1/6 for the y in the equation.
Simplify the left and compare to the right
If the two sides are equal, then the point lies on the line.
3(1) + 6(-1/6) = 2
3 + (-1) = 2
2 = 2
The point (1, -1/6) lies on this line.
2007-04-23 17:01:34 · answer #1 · answered by suesysgoddess 6 · 1⤊ 0⤋
solve for y.
3x + 6y = 2
subtract the 6y from both sides
3x = 2 - 6y
subtract the 2 from both sides
3x -2 = -6y
divide both sides by -6
(-1/2)x +(1/3) = y
then plug in the x coordinates you are supplied with
(-1/2)(1) + (1/3) = y
multiply the (-1/2) by 1
(-1/2) + (1/3) = y
find a common denominator (/6) and multiply the fractions by a number to convert them into it (in this case 3/3 and 2/2 respectively)
(-3/6) + (2/6) = y
solve
x = 1, y = -1/6
2007-04-24 00:03:32 · answer #2 · answered by Lucifer 4 · 0⤊ 0⤋
for a point to lie on a line, the equation that defines the line must be true when the point is plugged in. So, here:
x=1 y=-1/6 2 = 3x + 6y = 3(1) + 6(-1/6) = 3 + (-1)=3 - 1=2
since you know that 2=2, you know that the points you entered are on the line, because it gave you a true equation as its end result when you plugged it in.
2007-04-24 00:05:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋
3x + 6y = 2
3x + 6y - 3x = 2 - 3x
6y = 2 - 3x
6y/6 = (2 - 3x)/6
y = 1/3 - x/2
given point (1, -1/6)
where x = 1 and y = -1/6
y = 1/3 - x/2 :
-1/6 = 1/3 - 1/2
-1/6 = 2/6 - 2/6
-1/6 = -1/6
2007-04-24 00:17:04 · answer #4 · answered by rooster1981 4 · 0⤊ 0⤋
Well, if you plug in 1 for x and -1/6 for y, both sides will equal eachother, so there is no problem. Alternatively, you can solve for y so you can get it into y=ax+b form.
3x+6y=2
-3x.......-3x
6y=2-3x
/6......../6
y=1/3-1/2x
2007-04-24 00:05:35 · answer #5 · answered by Supermatt100 4 · 0⤊ 0⤋
3x + 6y = 2
6y = 2 - 3x
y = (1/3) - (1/2)x
f(x) = (1/3) - (1/2)x
f(1) = (1/3) -(1/2)*1
f(1) = (2-3)/6 = -1/6
The point (1, -1/6) then obviously lies on the graph of the function as for the value of x=1 the function has result -1/6
2007-04-24 00:02:15 · answer #6 · answered by neo85888 1 · 0⤊ 0⤋
3x+6y=2
x=1
y=?
3*1+6*y=2
6y=2-3
6y=-1
y=-1/6
Hint:
3x+6y=2
6y=2-3x
y=(2-3x)/6
Use x given values to calculate y
That is, you have to use trial and error method.
2007-04-24 00:03:41 · answer #7 · answered by iyiogrenci 6 · 0⤊ 0⤋
You can do this two ways: Graph with a graphing calculator and put in your x-values to see what your y-values are.
Way 2: plug in the x-values into your formula to get y-values then check to see if it is listed in the choices.
Thumb down is biased...
2007-04-24 00:01:27 · answer #8 · answered by Anonymous · 0⤊ 1⤋
wow thats hard...what kinda math are u in?
2007-04-24 00:00:18 · answer #9 · answered by Haley 1 · 0⤊ 1⤋