Question 939248
The slope of the line through the given points is:
{{{ m[1] = ( 3 - 3 ) / ( -2 - 6 ) = 0 }}}
This means the line is horizontal ( zero slope )
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I will say there is a line segment starting at ( 6,3 )
having a slope of {{{ m[2] = -1 }}}
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Also, there is a line segment from ( -2,3 ) having
a slope of {{{ m[3] = 1 }}}
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These line segments meet at ( x, y ), where {{{ x = ( 6 - 2 )/2 }}}
{{{ x = 2 }}}, so the point is ( 2,y )
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I can say:
{{{ ( 3 - y ) / ( 6 - 2 ) = -1 }}}
{{{ 3 - y = -4 }}}
{{{ y = 7 }}}
and
{{{ ( 3 - y ) / ( -2 - 2 ) = 1 }}}
{{{ 3 - y = -4 }}}
{{{ y = 7 }}}
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The third point is ( 2,7 )
The angles of the triangle are 45 -45 - 90