I need help with a question...

Question

In this case k and l are parallel lines and contain the given points of: k=(2,5),(8,14) and l=(5,3),(11,y)... how do I calculate for y?

Please help!

Answer 1

I hope you are not taught to use a notation like
k=(2,5),(8,14)
to represent a line through those two points, anyway ...

the slope of the first line is (14-5)/(8-2) = 3/2

the slope of the second line is (y-3)/(11-5) = (y-3)/6

but parallel lines have equal slopes, so ...
(y-3)/6 = 3/2
2y-6 = 18
2y=24
y=12

y = 33/2