Algebra Question 4?

Question

Are the following lines parallel, perpendicular, or neither?
L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)

Answer 1

slope = (-8 -2)/(3 - 9) slope = (-1 -5)/(5 - (-3))

slope = (-10)/(-6) slope = -6/8

slope = 5/3 slope = -3/4

neither

Answer 2

To solve this problem, use the concept of tangent.
L1 has a tangent of 5/3.
L2 has a tangent of -6/8.
If they were parallel, the 2 values (ignoring the sign) would have been the same.
If they were perpendicular, multiplying the 2 values would have given u a product of -1.
So what do u think?

Answer 3

you need the slopes for it and slope = rise / run or change in y / change in x
slope of L1 is (2- (-8))/ (9-3) = 10 / 6 = 5/3

and slope of L2 = (5- (-1)) / (-3-5) = 6/-8 = -3/4

since the slope are not the same they are not parallel and not opposite reciprocals so not perpendicular

so its neither

Answer 4

(9,2) and (3,-8)
m = (-8 - 2)/(3 - 9)
m = (-8 + (-2))/(-6)
m = (-10)/(-6)
m = (5/3)

(9,2), m = (5/3)
2 = (5/3)(9) + b
2 = (45/3) + b
2 = 15 + b
b = -13

y = (5/3)x - 13

-----------------------------------

(-3,5) and (5,-1)
m = (-1 - 5)/(5 - (-3))
m = (-1 + (-5))/(5 + 3)
m = (-6/8)
m = (-3/4)

5 = (-3/4)(-3) + b
5 = (9/4) + b
20 = 9 + 4b
11 = 4b
b = (11/4)

y = (-3/4)x + (11/4)

-------------------------------------

y = (-3/4)x + (11/4)
y = (5/3)x - 13

since they don't have the same slope they are not parallel
since they don't have opposite reciprical slopes, they are not perpendicular

ANS : Neither

Answer 5

Neither

Answer 6

They're perpendicular. When you plot them out, they touch and form two right angles. :)

Answer 7

perpendicular, use a graph to show how

Answer 8

get off your lazy butt and simply plot them. it should take less time than it took to login and type the question.

Answer 9

perpendicular

Answer 10

neither as m1 doesn't equal to m2 and m1 *m2 doesn't equal to
-1