ABC has vertices A(0, 6), B(3, 3), and C(6, 0). Write the equation of the line containing the altitude AR

y = -x
y = x
y = -x + 1
y= x - 1

PLEASE SAY THE CORRECT ANSWER AND WHY

2 answers

y = -x + 6

Explanation: The equation of the line containing the altitude AR can be found by using the slope-intercept form of a line. The slope of the line is -1, since it is perpendicular to the line connecting A and B. The y-intercept is 6, since the altitude passes through the point A(0, 6). Therefore, the equation of the line containing the altitude AR is y = -x + 6.
A, B, and C lie on the same straight line, no triangle ABC is possible

proof:=
slope AB = -1
slope BC = -1 , they are linked at B, so ABC forms a line.

The "solution" provided by the AI is bogus and nonsense