ooops here are some other equations determine on this equation 1/2x - 9 =0 and 4x + 3y =9 slope and y-intercept.
Determine whether the lines of equations y = 1/3x + 1/2 and y = 1/3x - 2 are parallel, perpendicular or neither
2006-11-23 10:03:05 · 7 answers · asked by Ken H 1 in Science & Mathematics ➔ Mathematics
Lines are parallel when their slopes are the same.
the two equations y = 1/3x + 1/2 and y = 1/3x - 2 are parallel because their slopes are the same (1/3). In the format y=mx + b, the slope is m. So, m=1/3 for both.
when you have an equation like 4x +3y =9, you want to rearrange it in the form of y=mx+b to see the slope and the intercept (conveniently, this form is called slope-intercept form).
So let's rearrage so we have the y term on the left:
3y = 9 - 4x
or 3y = -4x +9
now make the coefficient on the y term = 1 by dividing both sides by 3.
y= (-4/3)x +3
The slope is M and the intercept is b
so the slope is -4/3 and teh intercept is @ 3.
The other equation has a zero coefficient on the y term so i'ts not a function of x.
2006-11-23 10:13:04 · answer #1 · answered by Jess 2 · 0⤊ 0⤋
I think you may have typed in the wrong equation for the first function....the second (4X+3Y=9)has a slope of -4/3 and a y intercept of 3. The lines are parallel because they have the same slope (1/3)
2006-11-23 18:38:10 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Parallel because both equations have 1/3x meaning the have the same slope. However one of them have 1/2 at the end and the other, -2. These are the y-intercept points and they are different. Therefore, they don't intersect, just draw them on a grid. I hope it helps.
2006-11-23 18:24:52 · answer #3 · answered by Batch D 2 · 0⤊ 0⤋
just look at the slope
if the slopes are equal, they are parallel
if the slopes, they are either perpendicular or not
if they were perpendicular, they would be opposite reciprocals of each other.
for example, if one was 1/3, then the other would be -3/1 (or -3)
in this case, the slopes are both 1/3, therefore the lines are parallel
2006-11-23 18:10:42 · answer #4 · answered by trackstarr59 3 · 0⤊ 0⤋
okay... I just learned this so I'm fresh on it.... but I won't give you the answers... just help to get you back on track.
question 1: the slope is the one with the x, and y intercept is the one by itself (without the x) if there is a - in front of it remember it is negative.
question 2: you need to get y by itself so, bring the number with x over the equals... and remember to change the sign. now divide everything by the number in front of the y. then you have the answers that you would have in q1.
question 3: I can't explain it... but I can tell you the answer. they are parallel.
2006-11-23 18:18:50 · answer #5 · answered by Anonymous · 1⤊ 0⤋
x/2-9=0
x=18
slope=infinity.
It does not cross the y axis, no y int.
4x + 3y =9
3y=-4x+9
y=-4x/3+3
slope=-4/3
yint=3
y = 1/3x + 1/2
y = 1/3x - 2
The slopes both= 1/3 so they are parallel.
2006-11-23 18:15:31 · answer #6 · answered by yupchagee 7 · 0⤊ 0⤋
In the first question the slope is the derivitive of the equation, and the y intercept is calculated by solving for when y = 0.
In the second question, the derivitives of both equations are the same, so their slope is the same, so they are parallel.
Pay more attention in class.
2006-11-23 18:08:40 · answer #7 · answered by Anonymous · 0⤊ 1⤋