(a) y=4x-8 (b) y= -4x+8
(c) y=4x+3 (d) y=1/4x-8
2007-06-10 05:36:30 · 8 answers · asked by lindasalicea 1 in Science & Mathematics ➔ Mathematics
Well, since all these are in slope intercept form, it is pretty easy, parallel lines have the same slope... and lines with the same slope are parallel,,,,, its an IF and ONLY IF relationship...
ANd just for free, if the lines are perpendicular, then one is the negative reciprocal of the other...(BIG WORDS) if one slope is 2/3, the other is -3/2 [[[(like b) and d) above ]]]
Hey, and answer and a bonus... hope it helps
2007-06-10 05:50:28 · answer #1 · answered by Pat B 3 · 0⤊ 0⤋
Let us try a few values of x:
a) y = -4, 0, 4 for x = 1, 2 and 3.
b) y = 4, 0 and -4 for x = 1, 2 and 3.
c) y = 7, 11 and 15 for ,, ,, ,, ,,
d) y = 7 3/4, 7 1/2 and 7 1/4
Out of them, a and c are parallel if you graph. a nd b intersect at x = 2
2007-06-10 12:42:57 · answer #2 · answered by Swamy 7 · 0⤊ 0⤋
To determine the slope you could take the first derivative.
a) y' = 4 b) y' = -4
c) y' = 4 d) y' = 1/4
The two cases that have the same derivative are a) and c).
2007-06-10 12:45:30 · answer #3 · answered by Hakuna Matata 2 · 0⤊ 0⤋
A general line equation is Y=mX + c
For 2 lines to be parallel, the gradient, m, has to be equal.
a) m=4
b) m= -4
c) m=4
d) m=1/4
Thus the answers are a and c.
2007-06-10 12:39:47 · answer #4 · answered by qingy 2 · 1⤊ 0⤋
The gradients of the equations are:
a) 4
b) -4
c) 4
d) 1/4
Since a and c have the same gradients, they are parallel.
2007-06-10 12:46:20 · answer #5 · answered by Kemmy 6 · 0⤊ 0⤋
a and c because the both have the same slope = 4
2007-06-10 12:42:49 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
a and c. 4x is the slope. slopes have to be the same for paralell lines
2007-06-10 12:40:37 · answer #7 · answered by novajr17 3 · 0⤊ 1⤋
a) and c), m for each of these=4
2007-06-10 12:39:48 · answer #8 · answered by Anonymous · 0⤊ 0⤋