8. The curve y^2=12x intersects the line 3y=4x+6 at two points. Find the distance between the two points.
I got the wrong answer and I don't know why! Please help!

Question

8. The curve y^2=12x intersects the line 3y=4x+6 at two points. Find the distance between the two points.
I got the wrong answer and I don't know why! Please help!

anonymous · Answer

attachment

mehek14 · Answer

I just graphed both lines and they intersect at
(0.75, 3) and (3,6)

mehek14 · Answer

http://prntscr.com/8fti5r

anonymous · Answer

Ok, I assumed that I wasn't allowed to graph anything but is that wrong then?

mehek14 · Answer

well you got 2 different points

mehek14 · Answer

$\large{\bf{\sqrt{(3-0.75)^2+(6-3)^2}}}$

anonymous · Answer

Yeah  but if I could just graph to get the two points it would probably be easier since I went so wrong with my calculations. So what I mean is, if I graphed to get those two points that would be allowed?

mehek14 · Answer

does it say in your instructions if you can or not?

anonymous · Answer

not specifically. in the examples they give you before the questions, some of them say 'first draw a graph' but then they calculate it anyway

mehek14 · Answer

so yea 
I got the graph for you

anonymous · Answer

Ok, that will be easier then. I just used the points you got and tried getting the length but I got the wrong answer? I got -3.94 instead of the correct answer which is 3.75

anonymous · Answer

Oh nevermind I think I see where I went wrong, let me try again quick

mehek14 · Answer

how'd you get
-3.94?

anonymous · Answer

Oh apparently I changed one of the signs by accident. Whoops. I am getting the right thing now though. Sorry for all the trouble and thanks very much for your help!

mehek14 · Answer

yw ^_^