At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
okay so we have three lines
neither of them or parallel so they intersect to form a triangle
we are looing for the corners of this triangle
well the corner occurs when the two lines meet
when the two lines are equal to each other
two of the corners are easy to find because we can just plug y=0 into the equaitons
then useing that x that we get we can solce for the y
would you like me to show you an example
That would be great. THis has stomped me for hours.
okay lets look at these two lines: x + y = 2 y = 0
we want to find the point where they intersect
well we know for that bottom line y always equals 0
since y equals zero we need to find the x to satisfy the top equation when y is 0
so just plug y=0 into the top equation
what does x then equal?
nope. x + 0 = 2
what is x?
yes so whe y=0 and x=2 those lines meet
that is one of your corners
try and do the same thing for these two lines: −x + 2y = 2 y = 0.
clearly y equals 0
but what does x equal?
so the second corner is y=0 x=-2
now for the last one: −x + 2y = 2 x + y = 2
youve probably been doing these in class, do you knwo how to solve these?
These are my downfall. I am not fond of finding these corner points and the problems she always gave use were so difficult.
well this one is actually pretty easy , once you get the hang of it
the first time i tried this last part i got a fraction.
thats not necessarily a bad thing...
what did you get?
and whats x?
omg i stopped there because i just knew i was wrong
nope not at all!
i can put the y into either equation, right?
thats it so your third point is : y=4/3 x=2/3
(2/3 , 4/3)
thank you so much! :)