Question

What is the orthocenter of the triangle with two altitudes given by the lines x = -1 and y = x + 1. :

(0, -1) (-1, -2) (-1, 0) none of these

Answer 1

(-1, 0) i took the test

the first number is for x y is -1 plus 1 which is 0 so there you go

Answer 2

Orthocenter is the point of concurrence of the altitudes of the triangle.

This means Orthcenter is the point where the altitudes intersect.

Here one altitude is x = -1

The other altitude is y = x + 1

Substituting x = -1 in y = x + 1

We get

y = -1-1=0

Hence the point of intersection of the altitudes is (-1,0)

The orthocenter of the triangle whose altitudes are x = -1 & y = x+1 is (-1,0)

(-1,0) which is Option c) or the third option is the right answer.