Question

If kx+y-2=0 and x+hy-3=0 represent the same line, find h and k.

Answer 1

@Callisto

Answer 2

To solve for h,
Same line = have the same y-intercept.
How to find the y-intercept from the given equation?

To solve for k,
Same line = have the same x-intercept.
How to find the x-intercept from the given equation?

Answer 3

ummm...

Answer 4

Given Ax+By+C =0,
slope = -A/B
x-intercept = -C/A
y-intercept = -C/B

Answer 5

i am just thinking of these formula...

Answer 6

Now, set up the equations and solve the unknowns

Answer 7

wait a moment, let me calculate it

Answer 8

Take your time :)

Answer 9

do we need the formula y=mx+c?
for k,
slope=-k
y-intercept=2
x-intercept=2/k

Answer 10

for h,
slope=-1/h
x-intercept=3
y-intercept=3/h

Answer 11

oh, then 2=3/h
h=3/2
and 2/k=3
k=2/3
right?

Answer 12

Yes :)

Answer 13

thank you so much!

Answer 14

You're welcome :)