Question 643725
The slope of the line {{{ y = -2x + 78 }}}
is {{{ -2 }}}
When the slope is {{{ m }}}, the slope that
is perpendicular is {{{ -1/m }}}
{{{ -1/(-2) = 1/2 }}}
The point-slope form is
{{{ y = m*x + b }}}
{{{ y = (1/2)*x + b }}}
The point (8,-2) is included
{{{ -2 = (1/2)*8 + b }}}
{{{ -2 = 4 + b }}}
{{{ b = -6 }}}
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The equation is
{{{ y = (1/2)*x - 6 }}}