Question

thanks:)

Answer 1

The answers lie in the slopes of the two lines.

The first task is to get the slopes of the two lines.

Answer 2

2x+ky =3
ky = -3 - 2x
ky = -2x - 3
y = -2x/k - 3/k
y = (-2/k) * x - 3/k
Slope is -2/k

and

x+y=1
y = -1x + 1
Slope is -1

Answer 3

Parallel lines have the same slope.

That means that: (-2/k) = -1

Solve for k @cutegirl

Post what you get, okay?

Answer 4

2?

Answer 5

Yes, that is what I got but I need to check it.

Answer 6

@Jadedry Would you like to help with the part b about the value of k which would make the lines perpendicular?

Answer 7

For (b) the lines have to be perpendicular , in order that they're perpendicular, their slopes have to be negative reciprocals of each other.

2x+ky=3 and x+y=1

Lets simplify:

/2x+ky = 3 /

ky = 3-2x

y = 3-2x/k

/x+y = 1/

y = 1-x

(Remember slope is the coefficient of the x!)

the coefficient of x in y = 1-x is -1

You have to find a value of k in y = 3-2x/k such that the coefficient of x becomes the negative reciprocal of -1.

Can you figure it out?

Answer 8

-2?

Answer 9

Correct! c:

Answer 10

It is more fun to work together!

Answer 11

Yup! c: