MEDAL!!!
11. What is the orthocenter of the triangle with two altitudes given by the lines x=-1 andy=x+1

Question

MEDAL!!!
11.  What is the orthocenter of the triangle with two altitudes given by the lines x=-1 andy=x+1

jessiegonzales · Answer

@jim_thompson5910

zepdrix · Answer

The orthocenter is located at the intersection of the altitudes.
You can do it algebraically,$$\Large\rm \color{orangered}{x=-1},\qquad y=\color{orangered}{x}+1\qquad\to\qquad y=\color{orangered}{-1}+1$$Or by looking at the graph.
See where the two lines intersect? :)
I guess we would want to write our orthocenter as an ordered pair.
So x=-1 is the only x value for the first line, so that will have to be the x-value of our intersection.
What about the y-value? :o

jessiegonzales · Answer

y=1

zepdrix · Answer

If they intersect at x=-1, we can plug that in for our x value,$$\Large\rm y=\color{orangered}{x}+1$$$$\Large\rm y=\color{orangered}{-1}+1$$Hmm it doesn't look like it's y=1,
:O

jessiegonzales · Answer

attachment

zepdrix · Answer

Mmm yah good c:
So our orthocenter is located at (x,y) = (-1,0)
good job!