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dydlf
 3 years ago
please please please help me! :( find the equation of the line passing through (1/2, 2) whose x int is one half of its y int
dydlf
 3 years ago
please please please help me! :( find the equation of the line passing through (1/2, 2) whose x int is one half of its y int

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myko
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1343132016563:dw slope m=2 so y+2=2(x1/2) y=2x1

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0hi! how were you able to get the x and y intercepts? :)

myko
 3 years ago
Best ResponseYou've already chosen the best response.1the drawing is just an example of line that have this property that xint is half of yint. It doesn't go through the point (1/2, 2). It is just to visualize the problem and to notice that the slope of such a line is 2

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0ohhh 'cause my problem is actually finding out how to get the equation of that line :( and please explain why the slope would be then 2? thank you

apoorvk
 3 years ago
Best ResponseYou've already chosen the best response.1Okay let's do it through equations :) So, the interceptform a straight line for xintercept 'a', and yintercept 'b', is: \[\large \frac x a + \frac y b =1\] Now since, the yintercept in double that of the xintercept, it will be safe to replace 'b' with '2a'. What do you think?

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0yes i tried that... i couldn't get a final answer, though :( i got stuck... x/a+y/2a=1 then i can't think of another equation because things seem to be missing like for the slope intercept form there's no slope. for the 2 point form there's no other point. for the point slope form, there's no slope... :(

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0oh wait i just had an idea!

apoorvk
 3 years ago
Best ResponseYou've already chosen the best response.1You don't need any other equation! The line passes through (1/2, 2), and so you put in x=1/2 and y=2 in the equation, and find out 'a'!  is that the idea that you just had? :P

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0exactly!! HAHAHAHA i can't believe that took me forever to figure out!! i kept on focusing on the "other equation"!! wait let me solve try to this... hahaha

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0my x int is (3/2, 0) and my y int is (0, 3) so y=2x3 !!:) yaaay! thank you sooo much apoorvk!!

apoorvk
 3 years ago
Best ResponseYou've already chosen the best response.1@dydlf  hey you seem to have made a slight bit of a calculating error. xintercept should be '1/2' actually  and so your equation will change as well. Check it out.

dydlf
 3 years ago
Best ResponseYou've already chosen the best response.0OH RIGHT!! HAHAHAHA careless me! thank you, apoorvk! my bad! thanks, thanks! so it's y=2x1 !!:)
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