Question 1143673
I think they are saying that the base lies on the line
{{{ x = 0 }}} which is the y-axis.
The line through the vertex perpendicular to the base
has slope = 0
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One side has a positive slope of 1 ( 45 degrees )
The other side has slope of -1 ( 45 + 90 = 135 degrees )
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1st side:
Use point-slope formula:
{{{ ( y - (-3) ) / ( x - (-2) ) = 1 }}}
{{{ y + 3 = x + 2 }}}
{{{ y = x - 1 }}}
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2nd side:
{{{ ( y - (-3) ) / ( x - (-2) ) = -1 }}}
{{{ y + 3 = -1*( x + 2 ) }}}
{{{ y + 3 = -x - 2 }}}
{{{ y = -x - 5 }}}
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check answers:
( -2,-3 )
{{{ y = x - 1 }}}
{{{ -3 = -2 - 1 }}}
{{{ -3 = -3 }}}
OK
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{{{ y = -x - 5 }}}
{{{ -3 = -(-2) -5 }}}
{{{ -3 = 2 - 5 }}}
{{{ -3 = -3 }}}
OK